This section provides details for each class and property defined by MathModDB Ontology.
Named Individuals
- Acceleration
- Action Potential Propagation Model
- Active Contractile Force
- Active Contractile Force (Definition)
- Age Of An Individual
- Allee Effect
- Allee Threshold
- Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models
- Ampere Law
- Amplitude Of Electron Wave
- Angular Momentum
- Anharmonicity Constant
- Anharmonicity Constant (Definition)
- Applied External Voltage
- Archaeology
- Area
- Artificial Neural Network
- Astronomy
- Asymptomatic Infection Rate
- Asymptomatic Recovery Rate
- Attraction Force At Opinion
- Attraction Force At Opinion Formulation
- Average Opinion Of Followers Of Influencers
- Average Opinion Of Followers Of Influencers In The Partial Mean Field Model
- Average Opinion Of Followers Of Infuencers Formulation
- Average Opinion Of Followers Of Infuencers In The Partial Mean Field Model Formulation
- Average Opinion Of Followers Of Media
- Average Opinion Of Followers Of Media Formulation
- Average Opinion Of Followers Of Media In The Partial Mean Field Model
- Average Opinion Of Followers Of Media In The Partial Mean Field Model Formulation
- Azimuthal Angle
- Balanced Truncation
- Balanced Truncation (Bi-linear)
- Balanced Truncation (Linear)
- Balancing Transformation
- Band Edge Energy For Conduction Band
- Band Edge Energy For Valence Band
- Beavers-Joseph Coefficient
- Beavers–Joseph-Saffman Condition
- Between Population Contact Rate
- Between Population Contact Rate Equation
- Bi Bi Reaction
- Bi Bi Reaction following Ordered Mechanism
- Bi Bi Reaction following Ordered Mechanism with single central complex
- Bi Bi Reaction following Ping Pong Mechanism
- Bi Bi Reaction following Theorell-Chance Mechanism
- Bi Bi Reaction Ordered Mechanism (ODE Model)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and single central Complex (Steady State Assumption)
- Bi Bi Reaction Ordered Mechanism ODE System
- Bi Bi Reaction Ordered Mechanism with single central Complex (ODE Model)
- Bi Bi Reaction Ordered Mechanism with single central Complex ODE System
- Bi Bi Reaction Ping Pong Mechanism (ODE Model)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Ping Pong Mechanism ODE System
- Bi Bi Reaction Theorell-Chance Mechanism (ODE Model)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption)
- Bi Bi Reaction Theorell-Chance Mechanism ODE System
- Biology
- Biomechanics
- Biophysics
- Birth Rate
- Bisswanger (2017) Enzyme Kinetics
- Boltzmann Approximation For Electrons
- Boltzmann Approximation For Holes
- Boltzmann Constant
- Boolean Ring
- Boolean Variable
- Boundary Conditions of Electrophysiological Muscle ODE System
- Briggs (1925) A note on the kinetics of enzyme action
- Calculation of Deformation and Concentration
- Celestial Mechanics
- Center Of Province
- Centrifugal Distortion Constant
- Change In Length
- Change In Opinions Of Individuals
- Change In Opinions Of Influencers
- Change In Opinions Of Influencers In The Partial Mean Field Model
- Change In Opinions Of Media
- Change In Opinions Of Media In The Partial Mean Field Model
- Charge Transport
- Charge Transport Model
- Chemical Potential
- Chemical Reaction Kinetics
- Civil Engineering
- Classical Acceleration
- Classical Approximation
- Classical Brownian Equation
- Classical Brownian Model
- Classical Density (Phase Space)
- Classical Dynamics Model
- Classical Fokker Planck Equation
- Classical Fokker Planck Model
- Classical Force
- Classical Hamilton Equations
- Classical Hamilton Equations (Leap Frog)
- Classical Hamilton Function
- Classical Langevin Equation
- Classical Langevin Model
- Classical Liouville Equation
- Classical Mechanics
- Classical Momentum
- Classical Momentum (Definition)
- Classical Newton Equation
- Classical Newton Equation (Stoermer Verlet)
- Classical Position
- Classical Time Evolution
- Classical Velocity
- Closed System Approximation
- Coefficient Scaling Infectious To Exposed
- Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
- Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition, Definition)
- Complex Number (Dimensionless)
- Complexed Enzyme Concentration
- Computational Social Science
- Concentration
- Condition For Positive Solutions In The Multi-Population SI Model
- Condition For Positive Solutions In The Multi-Population SIR Model
- Condition For Positive Solutions In The Multi-Population SIS Model
- Condition For Positive Solutions In The SIR Model
- Condition For Positive Solutions In The SIR Model with Births and Deaths
- Condition For Positive Solutions In The SIS Model
- Condition For Positive Solutions In The SIS Model with Births and Deaths
- Condition To Keep Susceptibles Positive
- Conservation Law
- Conservation of City Numbers
- Constant Population Size
- Contact Network
- Contact Network (Definition)
- Contact Network (Time-dependent)
- Contact Network (Time-dependent, Definition)
- Contact Network Constraint
- Contact Rate
- Contact Rate Between Two Groups
- Continuity Equation
- Continuity Equation For Electrons
- Continuity Equation For Electrons (Finite Volume)
- Continuity Equation For Holes
- Continuity Equation For Holes (Finite Volume)
- Continuity of the Normal Mass Flux
- Continuity of the Normal Stresses
- Continuous Rate of Change of Infectious in the SI Model
- Continuous Rate of Change of Infectious in the SIR Model
- Continuous Rate of change of Infectious in the SIS Model
- Continuous Rate of Change of Removed in the SIR Model
- Continuous Rate of Change of Susceptibles in the SI Model
- Continuous Rate of change of Susceptibles in the SIR Model
- Continuous Rate of change of Susceptibles in the SIS Model
- Continuous Susceptible Infectious Model
- Continuous Susceptible Infectious Removed Model
- Continuous Susceptible Infectious Susceptible Model
- Continuum Mechanics
- Control System Duration
- Control System Initial
- Control System Initial (Reduced)
- Control System Input
- Control System Input Bilinear
- Control System Input Bilinear (Reduced)
- Control System Input Linear
- Control System Input Linear (Reduced)
- Control System Lagrange Multiplier
- Control System Matrix A
- Control System Matrix A (Reduced)
- Control System Matrix A (Reduced, Definition)
- Control System Matrix B
- Control System Matrix B (Reduced)
- Control System Matrix B (Reduced, Definition)
- Control System Matrix C
- Control System Matrix C (Reduced)
- Control System Matrix C (Reduced, Definition)
- Control System Matrix D
- Control System Matrix D (Reduced)
- Control System Matrix D (Reduced, Definition)
- Control System Matrix N
- Control System Matrix N (Reduced)
- Control System Matrix N (Reduced, Definition)
- Control System Model
- Control System Model (Bilinear)
- Control System Model (Linear)
- Control System Output
- Control System Output Linear
- Control System Output Linear (Reduced)
- Control System Output Quadratic
- Control System Output Quadratic (Reduced)
- Control System State
- Control System State (Reduced)
- Control System State (Reduced, Definition)
- Control System Time Evolution
- Control System Time Evolution (Bi-linear)
- Control System Time Evolution (Linear)
- Control Volume
- Control Volume (Definition)
- Coriolis Coupling Constant
- Costs
- Costs of Line Concept
- Costs per Unit
- Coulomb Friction Of Two Particles
- Coupling Current
- Cross Section
- Cundall (1979) A discrete numerical model for granular assemblies
- Current Density
- Current Density Of Electrons
- Current Density Of Electrons (Definition)
- Current Density Of Holes
- Current Density Of Holes (Definition)
- Current flow in semiconductor devices
- Current Procedural Terminology
- Darcy Equation
- Darcy Equation (Euler Backward)
- Darcy Equation (Finite Volume)
- Darcy Model
- Darcy Model (Discretized)
- Darwin-Howie-Whelan Equation for a strained crystal
- Darwin-Howie-Whelan Equation for an unstrained crystal
- de Broglie Wavelength
- de Broglie Wavelength (Definition)
- Death Count
- Decision Variable
- Decision Variable (Definition)
- Demography
- Denoising for Improved Parametric MRI of the Kidney
- Density
- Density Fraction Coefficient
- Density Of Air
- Density Of Electrons
- Density Of Holes
- Density Of States For Conduction Band
- Density Of States For Valence Band
- Detailed Balance Principle
- Diffusion Coefficient
- Diffusion Coefficient for SEIR Model
- Diffusion Flux
- Diffusion Model
- Dirac Delta Distribution
- Dirichlet Boundary Condition
- Dirichlet Boundary Condition For Electric Potential
- Dirichlet Boundary Condition For Electron Fermi Potential
- Dirichlet Boundary Condition For Hole Fermi Potential
- Discrete Element Method
- Discrete Susceptible Infectious Model
- Discrete Susceptible Infectious Removed Model
- Discrete Susceptible Infectious Susceptible Model
- Displacement
- Displacement Muscle Tendon
- Displacement Of Atoms
- Dissociation Constant
- Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Doping Profile
- Drag Coefficient
- Drift (Velocity)
- Drift-Diffusion Model
- Duration
- Duration per Unit
- Dynamical Electron Scattering Model
- Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Earth Mass
- Earth Radius
- Effective Conductivity
- Effective Mass
- Effective Mass (Solid-State Physics)
- Effective Mass (Spring-Mass System)
- Efficient Numerical Simulation of Soil-Tool Interaction
- Egyptology
- Eigenstress Of Crystal
- Elastic Stiffness Tensor
- Electric Capacitance
- Electric Charge
- Electric Charge Density
- Electric Conductivity
- Electric Constant
- Electric Current
- Electric Current Density
- Electric Dipole Moment
- Electric Field
- Electric Polarizability
- Electric Potential
- Electric Potential Fourier Coefficients
- Electrode Interfaces
- Electrodynamics
- Electromagnetic Fields And Waves
- Electromagnetism
- Electron Mass
- Electron Shuttling Model
- Electrophysiological Muscle Model
- Electrophysiological Muscle ODE System
- Elementary Charge
- Empirical Distribution Of Individuals
- Empirical Distribution Of Individuals Formulation
- Energy
- Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Product 1 - Product 2 Complex Concentration
- Enzyme - Product 1 Complex Concentration
- Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme - Product 2 Complex Concentration
- Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
- Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration
- Enzyme - Substrate 1 - Substrate 2 Complex Concentration
- Enzyme - Substrate 1 Complex Concentration
- Enzyme Concentration
- Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Enzyme Concentration ODE (Bi Bi Reaction Ordered)
- Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)
- Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Enzyme Concentration ODE (Uni Uni Reaction)
- Enzyme Conservation
- Enzyme Kinetics
- Enzyme-Substrate Complex Concentration
- Epidemiology
- Equilibrium Constant
- Equilibrium Constant (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) (Definition)
- Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Equivalance Equation Placeholder
- Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defects
- Euler Backward Method
- Euler Forward Method
- Euler Number
- Excess Substrate Assumption
- Excitation Error
- Expectation Value
- Expectation Value (Quantum Density)
- Expectation Value (Quantum Density, Definition)
- Expectation Value (Quantum State)
- Expectation Value (Quantum State, Definition)
- Exposure Of An Individual
- External Chemical Potential
- External Force Density
- Extract Logical Rules
- Extrinsic Mortality
- Far Field Radiation
- Faraday Law
- Feedforward Neural Network
- Fermi Potential For Electrons
- Fermi Potential For Holes
- Fiber Stretch
- Fiber Contraction Velocity
- Fick Equation
- Finite Volume Method
- Fixed Costs
- Flow in porous media
- Fluid Density
- Fluid Dynamic Viscosity (Free Flow)
- Fluid Dynamic Viscosity (Porous Medium)
- Fluid Intrinsic Permeability (Porous Medium)
- Fluid Kinematic Viscosity (Free Flow)
- Fluid Pressure (Free Flow)
- Fluid Pressure (Porous Medium)
- Fluid Velocity (Free Flow)
- Fluid Velocity (Porous Medium)
- Fluid Viscous Stress
- Flux Of Electrons
- Flux Of Holes
- Force
- Force Constant (Anharmonic)
- Force Constant (Harmonic)
- Force Density
- Fourier Equation
- Fraction Of Population Density Of Exposed
- Fraction Of Population Density Of Exposed Formulation
- Fraction Of Population Density Of Infectious
- Fraction Of Population Density Of Infectious Formulation
- Fraction Of Population Density Of Removed
- Fraction Of Population Density Of Susceptibles
- Fraction Of Population Density Of Susceptibles Formulation
- Free Energy Density
- Free Fall Determine Gravitation
- Free Fall Determine Time
- Free Fall Determine Velocity
- Free Fall Equation (Air Drag)
- Free Fall Equation (Non-Uniform Gravitation)
- Free Fall Equation (Vacuum)
- Free Fall Height
- Free Fall Impact Time
- Free Fall Impact Velocity
- Free Fall Initial Condition
- Free Fall Initial Height
- Free Fall Initial Velocity
- Free Fall Mass
- Free Fall Model (Air Drag)
- Free Fall Model (Non-Uniform Gravitation)
- Free Fall Model (Vacuum)
- Free Fall Terminal Velocity
- Free Fall Terminal Velocity (Definition)
- Free Fall Time
- Free Fall Time (Definition)
- Free Fall Velocity
- Free flow coupled to porous media flow
- Free flow of an incompressible fluid
- Frequency
- Friction Coefficient
- Gamma-Gompertz-Makeham Model
- Gamma-Gompertz–Makeham Law
- Gated Recurrent Unit Layer
- Gattermann (2017) Line pool generation
- Gauss Law (Electric Field)
- Gauss Law (Magnetic Field)
- Gaussian Distribution
- Gaussian Distribution (Definition)
- Gaussian Noise Model
- Generic Product Identifier
- Gompertz Law
- Gompertz–Makeham Law
- Gramian Generalized Controllability
- Gramian Generalized Controllability (Definition)
- Gramian Generalized Observability
- Gramian Generalized Observability (Definition)
- Gramian Matrix
- Gramian Matrix Controllability
- Gramian Matrix Controllability (Definition)
- Gramian Matrix Observability
- Gramian Matrix Observability (Definition)
- Graph Type Identifier
- Gravitational Acceleration (Earth Surface)
- Gravitational Acceleration (Earth Surface, Definition)
- Gravitational Constant
- Gravitational Effects On Fruit
- Gröbner Basis
- H2 Optimal Approximation
- H2 Optimal Approximation (Bi-linear)
- H2 Optimal Approximation (Linear)
- Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley
- Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Hankel Singular Value
- Heat Conduction Model
- Heat Flux
- Heat Transport
- Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies
- Heterogeneity of Death Rate
- Hill-Type Two-Muscle-One-Tendon Model
- Hill-Type Two-Muscle-One-Tendon ODE System
- Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics
- Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models
- Hooke Law (Linear Elasticity)
- Hooke Law (Spring)
- Hydraulic Conductivity
- Hyperstress Potential
- Ideal
- Identify destruction rules in ancient egyptian objects
- Image Denoising
- Imaging of nanostructures
- Individual Relationship Matrix
- Inertia Parameter For Opinion Changes Of Influencers
- Inertia Parameter For Opinion Changes Of Media
- Infected Recovery Rate
- Infectious
- Infectious At Time Step n+1 in the Multi-Population SI Model
- Infectious At Time Step n+1 in the Multi-Population SIR Model
- Infectious At Time Step n+1 in the Multi-Population SIS Model
- Infectious At Time Step n+1 in the SI Model
- Infectious At Time Step n+1 in the SIR Model
- Infectious At Time Step n+1 in the SIR Model with Births and Deaths
- Infectious At Time Step n+1 in The SIS Model
- Infectious At Time Step n+1 in The SIS Model with births and deaths
- Influencer Individual Matrix
- Inhibition Constant
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Inhibitor Concentration
- Initial Classical Density
- Initial Classical Momentum
- Initial Classical Position
- Initial Classical Velocity
- Initial Condition for the Multi-Population SI Model
- Initial Condition for the Multi-Population SIS Model
- Initial Condition for the Continuous SI Model and SIS Model
- Initial Condition for the Continuous SIR Model
- Initial Condition for the Discrete SI Model
- Initial Condition For The Discrete SIR Model with and without Births and Deaths
- Initial Condition for the Multi-Population SIR Model
- Initial Control State
- Initial Control State (Reduced)
- Initial Control State (Reduced, Definition)
- Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with single central Compelx - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model)
- Initial Enzyme Concentration (Uni Uni Reaction - ODE Model)
- Initial Inhibitor Concentration (Uni Uni Reaction)
- Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Number Of Infected Cities
- Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model)
- Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model)
- Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model)
- Initial Product Concentration (Uni Uni Reaction - ODE Model)
- Initial Product Concentration (Uni Uni Reaction with Product)
- Initial Product Concentration (Uni Uni Reaction without Product)
- Initial Quantum Density
- Initial Quantum State
- Initial Reaction Rate
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products
- Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and single central Complex
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2
- Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products
- Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism withs Product 1 and 2
- Initial Reaction Rate of Uni Uni Reaction with Product
- Initial Reaction Rate of Uni Uni Reaction without Product
- Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition
- Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition
- Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
- Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
- Initial Substrate Concentration (Uni Uni Reaction - ODE Model)
- Initial Substrate Concentration (Uni Uni Reaction)
- Initial Value For Electron Scattering
- Integer Number (Dimensionless)
- Integral Of The Population Density Fraction Of Exposed (Initial Condition)
- Integral Of The Population Density Fraction Of Infectious (Initial Condition)
- Integral Of The Population Density Fraction Of Susceptibles (Initial Condition)
- Integral Of The Total Population Density (Initial Condition)
- Interaction Force
- Interaction Force On An Individual
- Interaction Weight
- Interaction Weight Between Individuals
- Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
- Intermediate - Substrate 2 Complex Concentration
- Intermediate Concentration
- Intermediate Concentration ODE (Bi Bi Reaction Ping Pong)
- Intermolecular Potential
- International Classification of Diseases - 9
- Ion Current
- Irreversibility Assumption
- Isotropic Gaussian Function
- Isotropic Gaussian Function Formulation
- Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction
- Koprucki (2017) Numerical methods for drift-diffusion models
- Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia
- Lagrange Multiplier
- Laplace Equation For The Electric Potential
- Length
- Length Of Unit Cell
- Leskovac (2003) Comprehensive Enzyme Kinetics
- Level Of Mortality
- Likelihood Value
- Limiting Distribution Of Individuals
- Limiting Distribution Of Individuals Formulation
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward, Definition)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward, Definition)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward)
- Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward, Definition)
- Limiting Reaction Rate (Uni Uni Reaction - Backward)
- Limiting Reaction Rate (Uni Uni Reaction - Backward, Definition)
- Limiting Reaction Rate (Uni Uni Reaction - Forward)
- Limiting Reaction Rate (Uni Uni Reaction - Forward, Definition)
- Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single central Complex)
- Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong)
- Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance)
- Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong)
- Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance)
- Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)
- Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward, Definition)
- Line Concept
- Line Concept Costs
- Line Costs Computation
- Linear Discrete Element Method
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
- Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
- Linear Parameter Estimation of Enzyme Kinetics
- Linear Rotor
- Linear Rotor (Apolar)
- Linear Rotor (Combined)
- Linear Rotor (Non-Rigid)
- Linear Rotor (Polar)
- Linear Strain
- Linear Strain (Definition)
- Lineweaver (1934) The Determination of Enzyme Dissociation Constants
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Link Recommendation Function
- Liouville-von Neumann Equation
- Logical Rule Extraction Formulation
- Lorentz Force Equation (Non-Relativistic)
- Lorentz Force Equation (Relativistic)
- Lorentz Force Model (Non-Relativistic)
- Lorentz Force Model (Relativistic)
- Loss Function
- Loss Function
- Loss Function (Definition)
- Loss Function Minimization
- Lumped Activation Parameter
- Lyapunov Equation
- Lyapunov Equation Controllability
- Lyapunov Equation Observability
- Lyapunov Generalized Controllability
- Lyapunov Generalized Observability
- Magnetic Constant
- Magnetic Field
- Mass
- Mass Action Law
- Mass Balance Law
- Material Density
- Material Point Acceleration
- Material Point Displacement
- Material Point Velocity
- Mathematical Analysis of DHW Equation
- Maximal Object Descriptiveness Rating
- Maximizing Poisson log-Likelihood
- Maximum Frequency
- Maximum Isometric Muscle Force
- Maximum Likelihood Estimation
- Maxwell Equations Model
- Mechanical Deformation
- Mechanical Deformation (Boundary Value)
- Mechanical Strain
- Mechanical Stress
- Medical Imaging
- Medium Follower Matrix
- Medium Influencer Fraction
- Medium Influencer Fraction Limit
- Membrane Capacitance
- Membrane Potential
- Michaelis (1913) Die Kinetik der Invertinwirkung
- Michaelis Constant
- Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)
- Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption, Definition)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption, Definition)
- Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption, Definition)
- Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)
- Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption, Definition)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption, Definition)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption, Definition)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
- Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and single central Complex - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
- Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)
- Minimum Frequency
- Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
- Mobility Of Electrons
- Mobility Of Holes
- Model Order Reduction
- Molecular Alignment
- Molecular Dynamics
- Molecular Orientation
- Molecular Physics
- Molecular Reaction Dynamics
- Molecular Rotation
- Molecular Spectroscopy
- Molecular Spectroscopy (Transient)
- Molecular Spectrosopy (Stationary)
- Molecular Vibration
- Molecularity
- Momentum
- Momentum Balance Equation
- Monodomain Equation for Action Potential Propagation
- MOR Transformation Matrix
- Mortality Modeling
- Motor Neuron Pool Model
- Motor Neuron Pool ODE System
- Multi-Population Discrete Susceptible Infectious Model
- Multi-Population Discrete Susceptible Infectious Removed Model
- Multi-Population Discrete Susceptible Infectious Susceptible Model
- Multipolar Expansion Model (3D)
- Muscle Contraction Velocity
- Muscle Length
- Muscle Movement
- Muscle Spindle Firing Rate
- Near Field Radiation
- Neumann Boundary Condition
- Neumann Boundary Condition (Stress-Free Relaxation)
- Neumann Boundary Condition For Electric Potential
- Neumann Boundary Condition For Electron Fermi Potential
- Neumann Boundary Condition For Hole Fermi Potential
- Neumann Boundary Condition For SEIR Model
- Neural Firing Rate
- Neural Input
- Noise Strength
- Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
- Non-Local Means
- Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
- Nonlinear Parameter Estimation of Enzyme Kinetics
- Nonrelativistic Approximation
- Normal Interaction Force Of Two Particles
- Normal Mode Coordinate
- Normal Mode Coordinate (Dimensionless)
- Normal Mode Coordinate (Dimensionless, Definition)
- Normal Mode Momentum
- Normal Mode Momentum (Dimensionless)
- Normal Mode Momentum (Dimensionless, Definition)
- Normal Modes
- Normal Modes (Anharmonic)
- Normal Modes (Harmonic)
- Normal Modes (Intermolecular)
- Normal Stress
- Number (Dimensionless)
- Number of Cities
- Number Of Exposed Individuals
- Number Of Exposed Individuals Formulation
- Number Of Individuals Tends To Infinity Assumption
- Number Of Infected Cities
- Number Of Infectious Individuals
- Number of Object Properties
- Number of Objects
- Number Of Occurrences
- Number of Particles
- Number of Regions
- Number Of Removed Individuals
- Number Of Susceptible Cities
- Number Of Susceptible Individuals
- Number Of Susceptible Individuals Formulation
- Number of Time Points
- Object
- Object Cluster Formulation
- Object Cluster Matrix
- Object Committor Function Formulation
- Object Committor Functions
- Object Commonality Formulation
- Object Commonality Matrix
- Object Comparison Formulation
- Object Comparison Model
- Object Property
- Object Rating Formulation
- Object Rating Matrix
- Object Rating Matrix Decomposition (Schur)
- Ohm Equation
- Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobility
- Opinion
- Opinion Dynamics
- Opinion Model With Influencers And Media
- Opinion Vector of Individuals
- Opinion Vector of Influencers
- Opinion Vector of Media
- Optimal Control
- Optimal Control Backward
- Optimal Control Constraint
- Optimal Control Cost
- Optimal Control Cost (Definition)
- Optimal Control Final
- Optimal Control Forward
- Optimal Control Initial
- Optimal Control Penalty Factor
- Optimal Control Target
- Optimal Control Target (Definition)
- Optimal Control Update
- Optimization in Public Transportation
- Origin Destination Data
- Orthogonal Matrix
- Overall Distribution Of Individuals
- Overall Distribution Of Individuals Formulation
- Pair Function
- Pair Function Assumption
- Parameter Estimation of Enzyme Kinetics
- Parameter To Scale Attractive Force From Influencers
- Parameter To Scale Attractive Force From Media
- Parameter To Scale Attractive Force From Other Individuals
- Partial Mean Field Opinion Model
- Particle Flux Density
- Particle Number Density
- Particles In Electromagnetic Fields
- Passive Muscle Force
- Passive Muscle Force (Definition)
- Passive Muscle Strain
- Passive Tendon Force
- Passive Tendon Force (Definition)
- PDE SEIR Model
- Period Length
- Periodic Boundary Condition For Electric Potential
- Periodic Boundary Conditions
- Permeability (Vacuum)
- Permittivity (Dielectric)
- Permittivity (Relative)
- Permittivity (Relative, Definition)
- Permittivity (Vacuum)
- Physical Chemistry
- Pi Number
- Planck Constant
- Poisson Distribution
- Poisson Distribution (Definition)
- Poisson Equation For The Electric Potential
- Poisson Equation For The Electric Potential (Finite Volume)
- Poisson log-Likelihood
- Poisson-Distributed Deaths
- Polar Angle
- Pomology
- Population Density
- Poro-Visco-Elastic (Dirichlet Boundary)
- Poro-Visco-Elastic (Neumann Boundary)
- Poro-Visco-Elastic Diffusion Boundary Condition
- Poro-Visco-Elastic Diffusion Equation
- Poro-Visco-Elastic Evolution
- Poro-Visco-Elastic Model
- Poro-Visco-Elastic Quasistatic Equation
- Power Set
- Pressure
- Probability Distribution
- Product 1 Concentration
- Product 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Product 1 Concentration ODE (Bi Bi Reaction Ordered)
- Product 1 Concentration ODE (Bi Bi Reaction Ping Pong)
- Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Product 2 Concentration
- Product 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Product 2 Concentration ODE (Bi Bi Reaction Ordered)
- Product 2 Concentration ODE (Bi Bi Reaction Ping Pong)
- Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Product Concentration
- Product Concentration ODE (Uni Uni Reaction)
- Proton Electron Mass Ratio
- Proton Mass
- PTN Line
- Public Transportation Network
- Quantum Angular Momentum Operator
- Quantum Classical Model
- Quantum Conditional Quasi-Solvability
- Quantum Damping Rate
- Quantum Density Operator
- Quantum Eigen Energy
- Quantum Eigen Energy (Anharmonic)
- Quantum Eigen Energy (Harmonic)
- Quantum Eigen Energy (Intermolecular)
- Quantum Hamiltonian (Electric Charge)
- Quantum Hamiltonian (Electric Dipole)
- Quantum Hamiltonian (Electric Polarizability)
- Quantum Hamiltonian (Linear Rotor)
- Quantum Hamiltonian (Non-Rigid Rotor)
- Quantum Hamiltonian (Normal Mode)
- Quantum Hamiltonian (Normal Mode, Anharmonic)
- Quantum Hamiltonian (Normal Mode, Harmonic)
- Quantum Hamiltonian (Normal Mode, Intermolecular)
- Quantum Hamiltonian (Symmetric Top)
- Quantum Hamiltonian Operator
- Quantum Jump Operator
- Quantum Jump Operator (Definition)
- Quantum Kinetic Operator
- Quantum Lindblad Equation
- Quantum Liouville Equation
- Quantum Mechanical Operator
- Quantum Model (Closed System)
- Quantum Model (Open System)
- Quantum Momentum Operator
- Quantum Momentum Operator (Definition)
- Quantum Number
- Quantum Potential Operator
- Quantum State Vector
- Quantum State Vector (Dynamic)
- Quantum State Vector (Stationary)
- Quantum Stationary States
- Quantum Time Evolution
- Radius
- Rapid Equilibrium Assumption
- Rate
- Rate Of Aging
- Rate Of Becoming Infectious
- Rate Of Change Of Population Density Fraction Of Exposed PDE
- Rate Of Change Of Population Density Fraction Of Infectious PDE
- Rate Of Change Of Population Density Fraction Of Removed PDE
- Rate Of Change Of Population Density Fraction Of Susceptibles PDE
- Rate Of Change Of Susceptible Cities
- Rate Of Switching Influencers
- Rate Of Switching Influencers Formulation
- Reaction Rate
- Reaction Rate Constant
- Reaction Rate of Enzyme
- Reaction Rate of Enzyme - Product 1 - Product 2 Complex
- Reaction Rate of Enzyme - Product 1 Complex
- Reaction Rate of Enzyme - Product 2 Complex
- Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex
- Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex
- Reaction Rate of Enzyme - Substrate 1 Complex
- Reaction Rate of Intermediate
- Reaction Rate of Intermediate - Substrate 2 Complex
- Reaction Rate of Product 1
- Reaction Rate of Product 2
- Reaction Rate of Substrate 1
- Reaction Rate of Substrate 2
- Real Number (Dimensionless)
- Reciprocal Lattice
- Reciprocal Lattice Vectors
- Recombination Of Electron Hole Pairs
- Recovery Rate
- Recurrent Neural Network Surrogate for Discrete Element Method
- Region
- Region Connectivity
- Relative Removal Rate
- Relativistic Momentum
- Relativistic Momentum (Definition)
- Removed
- Removed At Time Step n+1 in The Multi-Population Discrete Susceptible Infectious Removed Model
- Removed At Time Step n+1 in The SIR Model
- Removed At Time Step n+1 in the SIR Model with Births and Deaths
- Risk Of Death
- Roman Archaeology
- Romanization Parameter Estimation
- Romanization Spreading in Northern Tunesia
- Romanization Time Evolution
- Romanized Cities Vector
- Rotational Constant
- Runge–Kutta Method
- Scaling Parameter For Switching Influencers
- Scharfetter-Gummel Scheme
- Schrödinger Equation (Chebychev Polynomial)
- Schrödinger Equation (Differencing Scheme)
- Schrödinger Equation (Lie-Trotter)
- Schrödinger Equation (Second Order Differencing)
- Schrödinger Equation (Split Operator)
- Schrödinger Equation (Strang-Marchuk)
- Schrödinger Equation (Time Dependent)
- Schrödinger Equation (Time Independent)
- Schrödinger-Newton Equation
- Second Condition For Positive Solutions In The Multi Population SIS Model
- Second Condition For Positive Solutions In The SIR Model with Births and Deaths
- Second Condition For Positive Solutions In The SIS Model
- Second Condition For Positive Solutions In The SIS Model with Births and Deaths
- Second Eigenvalue of Orthogonal Matrix
- SEIR Derivative Relation
- Semiconductor Charge Neutrality
- Semiconductor Current Voltage
- Semiconductor Physics
- Semiconductor Thermal Equilibrium
- Sensitivity Analysis of Complex Kinetic Systems
- Sensory Organ
- Sensory Organ Current
- Sensory Organ Model
- Simulation of Complex Kinetic Systems
- Simulation of TEM Images
- Slyke (1914) The mode of action of urease and of enzymes in general
- Solar System Equations Of Motion
- Solar System Mechanics
- Solar System Model
- Sort ancient Egyptian Objects
- Sorting Objects
- Spatial Variable
- Species Transport
- Speed Of Light
- Speed Of Light (Definition)
- Spherical Harmonics Expansion (3D)
- Spin Qbit Shuttling
- Spreading Curve (Approximate)
- Spreading Curve (Approximate, Formulation)
- Spreading of Infectious Diseases
- Spreading Rate (Time-dependent)
- Spreading Rate (Time-dependent) Constraint
- Spring Constant
- Stability Autonomous System
- Statistics
- Steady State Assumption
- Stokes Darcy Coupling Conditions
- Stokes Darcy Equation (Discretized, pv)
- Stokes Darcy Equation (Discretized, td)
- Stokes Darcy Model
- Stokes Darcy Model (Discretized)
- Stokes Equation
- Stokes Equation (Euler Backward)
- Stokes Equation (Finite Volume)
- Stokes Model
- Stokes Model (Discretized)
- Stress Free Muscle Length
- Stress Free Tendon Length
- Stress Of Crystal
- Stress Tensor (Cauchy)
- Stress Tensor (Piola-Kirchhoff)
- Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution
- Subcellular DAE System
- Subcellular Model
- Substrate 1 Concentration
- Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Substrate 1 Concentration ODE (Bi Bi Reaction Ordered)
- Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong)
- Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Substrate 2 Concentration
- Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex)
- Substrate 2 Concentration ODE (Bi Bi Reaction Ordered)
- Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong)
- Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
- Substrate Concentration
- Substrate Concentration ODE (Uni Uni Reaction)
- Surface Force Density
- Susceptible Cities ODE
- Susceptible Infectious Epidemic Spreading Model
- Susceptible Infectious Epidemic Spreading ODE System
- Susceptible Infectious Removed Model with Births and Deaths
- Susceptible Infectious Susceptible Model with Births and Deaths
- Susceptibles
- Susceptibles At Time Step n +1 in the Multi Population SI Model
- Susceptibles At Time Step n +1 in the Multi Population SIR Model
- Susceptibles At Time Step n +1 in the Multi Population SIS Model
- Susceptibles At Time Step n+1 in The SI Model
- Susceptibles At Time Step n+1 in The SIR Model
- Susceptibles At Time Step n+1 in the SIR Model with births and deaths
- Susceptibles At Time Step n+1 in The SIS Model
- Susceptibles At Time Step n+1 in The SIS Model with births and deaths
- Sylvester (1884) Sur léquations en matrices px = xq
- Sylvester Equation
- Sylvester Equation Controllability
- Sylvester Equation Observability
- Sylvester Generalized Controllability
- Sylvester Generalized Observability
- Symmetric Top (Combined)
- Symmetry Analysis In TEM Images
- Symptomatic Infection Rate
- Tangential Interaction Force Of Two Particles
- Temperature
- Tendon Length
- Tendon Strain
- Tendon Strain (Definition)
- Thermal Conductivity
- Time
- Time Point
- Time Step
- Torque
- Torque Of Particle
- Total Number Of Individuals
- Total Population Density
- Total Population Density Formulation
- Total Population Size
- Traffic Load
- Transmembrane Potential
- Transmission Electron Microscopy
- Transport Equation
- Transport Model
- Transport of Matter
- Transport Route
- Transportation Planning
- Turn Over Time
- Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
- Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) Definition
- Uni Uni Reaction
- Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption)
- Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction (ODE Model)
- Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction ODE System
- Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
- Uni Uni Reaction with Competitive Complete Inhibition
- Uni Uni Reaction with Competitive Partial Inhibition
- Uni Uni Reaction with Mixed Complete Inhibition
- Uni Uni Reaction with Mixed Partial Inhibition
- Uni Uni Reaction with Non-Competitive Complete Inhibition
- Uni Uni Reaction with Non-Competitive Partial Inhibition
- Uni Uni Reaction with Reversible Complete Inhibition
- Uni Uni Reaction with Reversible Partial Inhibition
- Uni Uni Reaction with Uncompetitive Complete Inhibition
- Uni Uni Reaction with Uncompetitive Partial Inhibition
- Uniform Gravitational Acceleration
- Unit Normal Vector
- Unit Tangent Vector
- Unknown Matrix
- Upper-Triangular Matrix
- van Roosbroeck Model
- Vanishing Air Density
- Vanishing Drag Coefficient
- Variance
- Velocity
- Vibration Frequency (Anharmonic)
- Vibration Frequency (Harmonic)
- Vibrational Frequency Shift (1st Order)
- Vibrational Frequency Shift (2nd Order)
- Viscosity
- Viscous Dissipation Potential
- Voltage
- Wave Vector of an Electron
- Weber (2022) The Mathematics of Comparing Objects
- Weight Factor
- Weight Factor (Definition)
- White Noise
- Wiener Process
- Young Modulus
- Young Modulus (Definition)
IRI: https://mardi4nfdi.de/mathmoddb#AlleeThreshold
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belongs to
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Quantity c
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has facts
-
description ap "population density below which growth becomes negative"@en
Anharmonicity Constant (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AnharmonicityConstantDefinition
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belongs to
-
Mathematical Formulation c
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has facts
-
contains quantity op Anharmonicity Constant ni
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contains quantity op Coriolis Coupling Constant ni
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contains quantity op Force Constant (Anharmonic) ni
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contains quantity op Number of Particles ni
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contains quantity op Rotational Constant ni
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contains quantity op Vibration Frequency (Harmonic) ni
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defining formulation dp "$ \begin{align} \chi_{rr} &=& \frac{1}{16} \phi_{rrrr} - \frac{1}{16} \sum_{s=1}^{3N-6} \phi_{rrs}^2 \frac {8\omega_r^2-3\omega_s^2} {\omega_s(4\omega_r^2-\omega_s^2)} \\ \chi_{rs} &=&\frac{1}{4} \phi_{rrss} - \frac{1}{4} \sum_{t=1}^{3N-6} \frac{\phi_{rrt}\phi_{tss}}{\omega_t} - \frac{1}{2} \sum_{t=1}^{3N-6} \frac {\phi_{rst}^2 \omega_t (\omega_t^2-\omega_r^2-\omega_s^2)} {\Delta_{rst}} \\ &+& \left[ A(\zeta_{r,s}^{(a)})^2 + B(\zeta_{r,s}^{(b)})^2 + C(\zeta_{r,s}^{(c)})^2 \right] \left[ \frac{\omega_r}{\omega_s} + \frac{\omega_s}{\omega_r} \right] \\ \Delta_{rst} &=& ( \omega_r + \omega_s + \omega_t ) ( \omega_r - \omega_s - \omega_t ) (-\omega_r + \omega_s - \omega_t ) (-\omega_r - \omega_s + \omega_t ) \end{align}$"^^La Te X ep
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in defining formulation dp "$A,B,C$, Rotational Constant"^^La Te X ep
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in defining formulation dp "$N$, Number of Particles"^^La Te X ep
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in defining formulation dp "$\chi$, Anharmonicity Constant"^^La Te X ep
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in defining formulation dp "$\omega$, Vibrational Frequency (Harmonic)"^^La Te X ep
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in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
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in defining formulation dp "$\zeta$, Coriolis Coupling Constant"^^La Te X ep
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wikidata I D ap Q545228 ep
IRI: https://mardi4nfdi.de/mathmoddb#AttractionForceAtOpinion
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belongs to
-
Quantity c
Average Opinion Of Followers Of Influencersni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfInfluencerFollowers
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belongs to
-
Quantity c
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has facts
-
description ap "opinion of the Influencers is drawn towards the average opinion of the followers"@en
Average Opinion Of Followers Of Influencers In The Partial Mean Field Modelni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfInfluencersInThePartialFieldModel
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belongs to
-
Quantity c
-
has facts
-
description ap "opinion of the Influencers is drawn towards the average opinion of the followers"@en
IRI: https://mardi4nfdi.de/mathmoddb#BeaversJosephCoefficient
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belongs to
-
Quantity c
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has facts
-
description ap "Beavers-Joseph Coefficient"@en
Bi Bi Reaction Ordered Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystem
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belongs to
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Mathematical Formulation c
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has facts
-
contains formulation op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Product 1 Complex Concentration ni
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contains quantity op Enzyme - Product 1 - Product 2 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 - Substrate 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Product 1 Complex ni
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contains quantity op Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} * c_{ES_1} - k_{1} * c_{E} * c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} * c_{ES_{1}S_{2}} - k_{2} * c_{ES_1} * c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{ES_{1}S_{2}} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2} \\ \frac{dc_{ES_{1}S_{2}}}{dt} &= k_{2} * c_{ES_1} * c_{S_2} + k_{-3} * c_{EP_{1}P_{2}} - k_{-2} * c_{ES_{1}S_{2}} - k_{3} * c_{ES_{1}S_{2}} \\ \frac{dc_{EP_{1}P_{2}}}{dt} &= k_{3} * c_{ES_{1}S_{2}} + k_{-4} * c_{EP_1} * c_{P_2} - k_{-3} * c_{EP_{1}P_{2}} - k_{4} * c_{EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} * c_{EP_{1}P_{2}} + k_{-5} * c_{E} * c_{P_1} - k_{-4} * c_{EP_1} * c_{P_2} - k_{5} * c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} * c_{EP_1} - k_{-5} * c_{E} * c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} * c_{EP_{1}P_{2}} - k_{-4} * c_{EP_1} * c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} * c_{ES_1} + k_5 * c_{EP_1} - k_{1} * c_{E} * c_{S_1} - k_{-5} * c_{E} * c_{P_1} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1P_2}}{dt}$, Reaction Rate of Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1S_2}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{EP_1P_2}$, Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1S_2}$, Enzyme - Substrate 1 - Substrate 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Ordered Mechanism with single central Complex ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystemsingleCC
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with single central Complex) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Product 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} * c_{ES_1} - k_{1} * c_{E} * c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} * c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{2} * c_{ES_1} * c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2} \\ \frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt} &= k_{2} * c_{ES_1} * c_{S_2} - k_{-2} * c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-4} * c_{EP_1} * c_{P_2} - k_{4} * c_{ES_{1}S_{2}=EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} * c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} * c_{E} * c_{P_1} - k_{-4} * c_{EP_1} * c_{P_2} - k_{5} * c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} * c_{EP_1} - k_{-5} * c_{E} * c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} * c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-4} * c_{EP_1} * c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} * c_{ES_1} + k_5 * c_{EP_1} - k_{1} * c_{E} * c_{S_1} - k_{-5} * c_{E} * c_{P_1} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Ping Pong Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechansimODESystem
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belongs to
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Mathematical Formulation c
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has facts
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
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contains quantity op Enzyme Concentration ni
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contains quantity op Enzyme - Substrate 1 Complex Concentration ni
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contains quantity op Intermediate Concentration ni
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contains quantity op Intermediate - Substrate 2 Complex Concentration ni
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contains quantity op Product 1 Concentration ni
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contains quantity op Product 2 Concentration ni
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contains quantity op Reaction Rate Constant ni
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contains quantity op Reaction Rate of Enzyme ni
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contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
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contains quantity op Reaction Rate of Intermediate ni
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contains quantity op Reaction Rate of Intermediate - Substrate 2 Complex ni
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contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
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contains quantity op Reaction Rate of Substrate 1 ni
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contains quantity op Reaction Rate of Substrate 2 ni
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contains quantity op Substrate 1 Concentration ni
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contains quantity op Substrate 2 Concentration ni
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contains quantity op Time ni
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defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} * c_{ES_1} - k_{1} * c_{E} * c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-3} * c_{E*S_2} - k_{3} * c_{E*} * c_{S_2} \\ \frac{dc_{E}}{dt} &= k_{-1} * c_{ES_1} + k_{4} * c_{E*S_2} - k_{1} * c_{E} * c_{S_1} - k_{-4} * c_{E} * c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{E*} * c_{P_1} - k_{-1} * c_{ES_1} - k_{2} c_{ES_1} \\ \frac{dc_{E*}}{dt} &= k_{2} * c_{ES_1} + k_{-3} * c_{E*S_2} - k_{-2} * c_{E*} * c_{P_1} - k_{3} * c_{E*} * c_{S_2} \\ \frac{dc_{E*S_2}}{dt} &= k_{3} * c_{E*} * c_{S_2} + k_{-4} * c_{E} * c_{P_2} - k_{-3} * c_{E*S_2} - k_{4} * c_{E*S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} * c_{ES_1} - k_{-2} * c_{E*} * c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} * c_{E*S_2} - k_{-4} * c_{P_2} * c_{E} \\ \end{align}$"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E*S_2}}{dt}$, Reaction Rate of Intermediate - Substrate 2 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E*}}{dt}$, Reaction Rate of Intermediate"^^La Te X ep
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in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
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in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
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in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
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in defining formulation dp "$c_{E*S_2}$, Intermediate - Substrate 2 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E*}$, Intermediate Concentration"^^La Te X ep
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in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
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in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
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in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
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in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
Bi Bi Reaction Theorell-Chance Mechanism ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechansimODESystem
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belongs to
-
Mathematical Formulation c
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has facts
-
contains formulation op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
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contains formulation op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
-
contains quantity op Enzyme Concentration ni
-
contains quantity op Enzyme - Product 2 Complex Concentration ni
-
contains quantity op Enzyme - Substrate 1 Complex Concentration ni
-
contains quantity op Product 1 Concentration ni
-
contains quantity op Product 2 Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate of Enzyme ni
-
contains quantity op Reaction Rate of Enzyme - Product 2 Complex ni
-
contains quantity op Reaction Rate of Enzyme - Substrate 1 Complex ni
-
contains quantity op Reaction Rate of Product 1 ni
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contains quantity op Reaction Rate of Product 2 ni
-
contains quantity op Reaction Rate of Substrate 1 ni
-
contains quantity op Reaction Rate of Substrate 2 ni
-
contains quantity op Substrate 1 Concentration ni
-
contains quantity op Substrate 2 Concentration ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align*} \frac{dc_{S_1}}{dt} &= k_{-1} * c_{ES_1} - k_{1} * c_{E} * c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} * c_{EP_2} * c_{P_1} - k_{2} * c_{ES_1} * c_{S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} * c_{ES_1} * c_{S_2} - k_{-2} * c_{EP_2} * c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{3} * c_{EP_2} - k_{-3} * c_{E} * c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{EP_{2}} * c_{P_1} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2} \\ \frac{dc_{EP_2}}{dt} &= k_{2} * c_{ES_1} * c_{S_2} + k_{-3} * c_{E} * c_{P_2} - k_{-2} * c_{EP_2} * c_{P_1} - k_3 * c_{EP_2} \\ \frac{dc_{E}}{dt} &= k_{-1} * c_{ES_1} + k_3 * c_{EP_2} - k_{1} * c_{E} * c_{S_1} - k_{-3} * c_{E} * c_{P_2} \end{align*}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate of Enzyme - Product 2 Complex"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Enzyme - Product 2 Complex Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Boundary Conditions of Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Boundary_Conditions_for_Electrophysiological_Muscle_ODE_System
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as boundary condition in op Electrophysiological Muscle ODE System ni
-
contains quantity op Displacement Muscle Tendon ni
-
contains quantity op Material Point Displacement ni
-
contains quantity op Material Point Velocity ni
-
contains quantity op Stress Tensor (Piola-Kirchhoff) ni
-
defining formulation dp "$$\begin{array}{cccc} \mathbf{x}_{\text{M}1} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}1} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}1})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}1-\text{T}}$} \\ \mathbf{x}_{\text{M}2} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}2} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}2})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}2-\text{T}}$} \end{array}$$"^^La Te X ep
-
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
-
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}$, Material Point Displacement"^^La Te X ep
-
in defining formulation dp "$x$, Displacement Muscle Tendon"^^La Te X ep
-
description ap "kinematic and dynamic conditions at the interfaces beween each muscle and the tendon"@en
IRI: https://mardi4nfdi.de/mathmoddb#CenterOfProvince
-
belongs to
-
Quantity c
-
has facts
-
description ap "centers of the respective provinces"@en
IRI: https://mardi4nfdi.de/mathmoddb#CentrifugalDistortionConstant
-
belongs to
-
Quantity c
-
has facts
-
description ap "distortion of a molecule caused by the centrifugal force produced by rotation"@en
Change In Opinions Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfIndividuals
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Opinion Model With Influencers And Media ni
-
contains quantity op Interaction Force ni
-
contains quantity op Noise Strength ni
-
contains quantity op Opinion Vector of Individuals ni
-
contains quantity op Opinion Vector of Influencers ni
-
contains quantity op Opinion Vector of Media ni
-
contains quantity op Time ni
-
contains quantity op Wiener Process ni
-
defining formulation dp "$dx_i(t) = F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)dt + \sigma dW_i(t)$"^^La Te X ep
-
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
-
in defining formulation dp "$W_i(t)$, Wiener Process"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}(t)$, Opinion Vector of Individuals"^^La Te X ep
-
in defining formulation dp "$\mathbf{y}(t)$, Opinion Vector of Media"^^La Te X ep
-
in defining formulation dp "$\mathbf{z}(t)$, Opinion Vector of Influencers"^^La Te X ep
-
in defining formulation dp "$\sigma$, Noise Strength"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "false"^^boolean
-
is dimensionless dp "false"^^boolean
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#Civil_Engineering
-
belongs to
-
Research Field c
-
has facts
-
description ap "engineering discipline specializing in design, construction and maintenance of the built environment"@en
-
wikidata I D ap Q77590 ep
Classical Fokker Planck Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ClassicalFokkerPlanckEquation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Classical Position ni
-
contains quantity op Control System Input ni
-
contains quantity op Diffusion Coefficient ni
-
contains quantity op Drift (Velocity) ni
-
contains quantity op Probability Distribution ni
-
contains quantity op Time ni
-
similar to formulation op Classical Brownian Equation ni
-
similar to formulation op Classical Langevin Equation ni
-
defining formulation dp "$\frac{\partial}{\partial t} p(x, t) = -\frac{\partial}{\partial x}\left[(\mu(x, t)-u) p(x, t)\right] + \frac{\partial^2}{\partial x^2}\left[D(x, t) p(x, t)\right]$"^^La Te X ep
-
in defining formulation dp "$D$, Diffusion constant"^^La Te X ep
-
in defining formulation dp "$\mu$, Drift"^^La Te X ep
-
in defining formulation dp "$p$, Probability Distribution"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$u_t$, Control System Input"^^La Te X ep
-
in defining formulation dp "$x$, Classical Position"^^La Te X ep
-
description ap "partial differential equation describing the dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces"
-
wikidata I D ap Q891766 ep
Coefficient Scaling Infectious To Exposedni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#CoefficientScalingInfectiousToExposed
-
belongs to
-
Quantity c
-
has facts
-
description ap "coefficient scales the number of infectious to estimate the number of exposed individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#ComputationalSocialScience
-
belongs to
-
Research Field c
-
has facts
-
description ap "academic sub-discipline concerned with computational approaches to the social sciences"@en
-
wikidata I D ap "https://www.wikidata.org/wiki/Q16909867"
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemDuration
-
belongs to
-
Quantity c
-
has facts
-
description ap "time after which a (optimal) control should have reached the target"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInitial
-
belongs to
-
Quantity c
-
has facts
-
description ap "initial value for the state vector of a control system"@en
Control System Lagrange Multiplierni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemLagrangeMultiplier
-
belongs to
-
Quantity c
-
has facts
-
description ap "method to solve constrained optimization problems for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixA
-
belongs to
-
Quantity c
-
has facts
-
description ap "homogeneous part of (linear) input equation for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixB
-
belongs to
-
Quantity c
-
has facts
-
description ap "inhomogeneous part of (linear) input equation for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixC
-
belongs to
-
Quantity c
-
has facts
-
description ap "linear part of output equation for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixD
-
belongs to
-
Quantity c
-
has facts
-
description ap "quadratic part of output equation for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixN
-
belongs to
-
Quantity c
-
has facts
-
description ap "bilinear part of input equation for control systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemModelLinear
-
belongs to
-
Mathematical Model c
-
has facts
-
description ap "control system with linear input equation"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemOutput
-
belongs to
-
Quantity c
-
has facts
-
description ap "output from a control system"@en
IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemState
-
belongs to
-
Quantity c
-
has facts
-
description ap "state vector of a dynamical system for control systems"@en
Coulomb Friction Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Coulomb_Friction_Of_Two_Particles
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "if $F^{T, cons}_{ij}> \mu F_{ij}^N$ then $\bm F_{ij}^T = \mu F_{ij}^N \bm\xi_{ij}/\lVert \bm\xi_{ij}\rVert$"^^La Te X ep
-
in defining formulation dp "$F_{ij}^{T, cons}=-k_{ij}^T\lVert \bm \xi_{ij}\rVert$, conservative part of tangential interaction force"^^La Te X ep
-
description ap "slipping occurs, if tangential force is high in relation to normal force in the contact of two particles"@en
IRI: https://mardi4nfdi.de/mathmoddb#DeathCount
-
belongs to
-
Quantity c
-
has facts
-
description ap "death count, at a given age"@en
IRI: https://mardi4nfdi.de/mathmoddb#DensityFractionCoefficient
-
belongs to
-
Quantity c
-
has facts
-
description ap "coeffieicnts used in the definition of the density fractions"@en
Density Of States For Conduction Bandni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForConductionBand
-
belongs to
-
Quantity c
-
has facts
-
description ap "number of allowed states per unit energy range for conduction band"@en
Density Of States For Valence Bandni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForValenceBand
-
belongs to
-
Quantity c
-
has facts
-
description ap "number of allowed states per unit energy range for valence band"@en
Diffusion Coefficient for SEIR Modelni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DiffusionCoefficient
-
belongs to
-
Quantity c
-
has facts
-
description ap "spatial mixing of the subpopulations"@en
IRI: https://mardi4nfdi.de/mathmoddb#DiracDeltaDistribution
-
belongs to
-
Quantity c
-
has facts
-
description ap "generalized function on the real numbers"@en
IRI: https://mardi4nfdi.de/mathmoddb#DirichletBoundaryCondition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
description ap "boundary condition specifying the values that a solution of a differential equation needs to take along the boundaries of a domain"@en
-
alt Label ap "second-type boundary condition"@en
-
wikidata I D ap Q1193699 ep
Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} * (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} * (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} * (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} * (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#ElasticStiffnessTensor
-
belongs to
-
Quantity c
-
has facts
-
description ap "fourth-order tensor that describes the relationship between stress and strain in a material"@en
Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Electrophysiological_Muscle_Model_ODE_System
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Electrophysiological Muscle Model ni
-
contains formulation op Lumped Activation Parameter ni
-
contains quantity op Displacement Muscle Tendon ni
-
contains quantity op Material Density ni
-
contains quantity op Material Point Acceleration ni
-
contains quantity op Material Point Velocity ni
-
contains quantity op Pressure ni
-
contains quantity op Stress Tensor (Piola-Kirchhoff) ni
-
contains quantity op Time ni
-
defining formulation dp "$$\begin{align*} \rho_{\text{M}1} \mathbf{\ddot{x}}_{\text{M}1} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}1}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}1}, \gamma_{\text{M}1}) - p_{\text{M}1}\mathbf{F}^{-T}_{\text{M}1} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}1} = 0$} ~ &\text{in $\Omega_{\text{M}1}\times [0,T_{\text{end}})$}\\ \rho_{\text{M}2} \mathbf{\ddot{x}}_{\text{M}2} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}2}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}2}, \gamma_{\text{M}2}) - p_{\text{M}2}\mathbf{F}^{-T}_{\text{M}2} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}2} = 0$} ~ &\text{in $\Omega_{\text{M}2}\times [0,T_{\text{end}})$}\\ \rho_{\text{T}}\mathbf{\ddot{x}}_\text{T}&= \mathbf{\nabla} \cdot \left(\mathbf{P}_\text{passive}(\mathbf{F}_{\text{T}}) - p_\text{T}\mathbf{F}^{-T}_{\text{T}}\right), &\text{div $\mathbf{\dot{x}}_{\text{T}}=0$}& ~\text{in $\Omega_{\text{T}}\times [0,T_{\text{end}})$} \end{align*}$$"^^La Te X ep
-
in defining formulation dp "$\ddot{\mathbf{x}}$, Material Point Acceleration"^^La Te X ep
-
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
-
in defining formulation dp "$\gamma$, Lumped Activation Parameter"^^La Te X ep
-
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
-
in defining formulation dp "$\mathbf{x}$, Displacement Muscle Tendon"^^La Te X ep
-
in defining formulation dp "$\rho$, Material Density"^^La Te X ep
-
in defining formulation dp "$p$, Pressure"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "three-dimensional electrophysiological model for a muscle"@en
Empirical Distribution Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EmpiricalDistributionOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "empirical distribution of individuals that follow a specific medium and influencer"@en
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} * c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} * c_{E} * c_{P_1} - k_{-4} * c_{EP_1} * c_{P_2} - k_{5} * c_{EP_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} * c_{EP_{1}P_{2}} + k_{-5} * c_{E} * c_{P_1} - k_{-4} * c_{EP_1} * c_{P_2} - k_{5} * c_{EP_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product2ComplexConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{EP_2}}{dt} = k_{2} * c_{ES_1} * c_{S_2} + k_{-3} * c_{E} * c_{P_2} - k_{-2} * c_{EP_2} * c_{P_1} - k_3 * c_{EP_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrateComplexConcentrationODEUniUni
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES}}{dt}=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{ES_{1}S_{2}} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiPingPong
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{E*} * c_{P_1} - k_{-1} * c_{ES_1} - k_{2} c_{ES_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} * c_{E} * c_{S_1} + k_{-2} * c_{EP_{2}} * c_{P_1} - k_{-1} * c_{ES_1} - k_2 * c_{ES_1} * c_{S_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1-Substrate2Enzyme-Product1-Product2-ComplexConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{ES_{1}E_{2}=EP_{1}P_{2}}}{dt} = k_2 * c_{ES_1} * c_{S_2} - k_{-2} * c_{ES_{1}E_{2}=EP_{1}P_{2}} - k_4 * c_{ES_{1}E_{2}=EP_{1}P_{2}} + k_{-4} * c_{EP_1} * c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentrationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrate1Substrate2EnzymeProduct1Product2ComplexConcentration
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Concentration ni
-
description ap "amount of enzyme - substrate 1 - substrate 2 = enzyme -product 1 - product 2 complex present in a reaction environment"@en
Enzyme Concentration ODE (Bi Bi Reaction Ordered with single central Complex)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrderedsingleCC
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} * c_{ES_1} + k_5 * c_{EP_1} - k_{1} * c_{E} * c_{S_1} - k_{-5} * c_{E} * c_{P_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrdered
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} * c_{ES_1} + k_5 * c_{EP_1} - k_{1} * c_{E} * c_{S_1} - k_{-5} * c_{E} * c_{P_1}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiPingPong
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} * c_{ES_1} + k_{4} * c_{E*S_2} - k_{1} * c_{E} * c_{S_1} - k_{-4} * c_{E} * c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiTheorellChance
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} * c_{ES_1} + k_3 * c_{EP_2} - k_{1} * c_{E} * c_{S_1} - k_{-3} * c_{E} * c_{P_2}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionOrderedSSDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Reaction Rate Constant ni
-
defining formulation dp "$K_{eq} \equiv \frac{k_1 * k_2 * k_3 * k_4 * k_5}{k_{-1} * k_{-2} * k_{-3} * k_{-4} * k_{-5}}$"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defectsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Ermoneit_2023_Optimal_control_of_conveyor-mode_spin-qubit_shuttling_in_a_Si_SiGe_quantum_bus_in_the_presence_of_charged_defects
-
belongs to
-
Publication c
-
has facts
-
doi I D ap W I A S. P R E P R I N T.3082 ep
IRI: https://mardi4nfdi.de/mathmoddb#ExternalChemicalPotential
-
belongs to
-
Quantity c
-
has facts
-
description ap "chemical potential on the boundary of a domain"@en
IRI: https://mardi4nfdi.de/mathmoddb#ExternalForceDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en
-
wikidata I D ap Q4117184 ep
IRI: https://mardi4nfdi.de/mathmoddb#ExtrinsicMortality
-
belongs to
-
Quantity c
-
has facts
-
description ap "sum of the effects of external factors that contribute to death"@en
-
wikidata I D ap Q60776128 ep
Fluid Intrinsic Permeability (Porous Medium)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FluidIntrinsicPermeabilityPorousMedium
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure of the ability of a porous material to allow fluids to pass through it"@en
-
alt Label ap "Intrinsic Permeability"@en
IRI: https://mardi4nfdi.de/mathmoddb#FluidPressureFreeFlow
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Pressure ni
-
description ap "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in free flow"@en
IRI: https://mardi4nfdi.de/mathmoddb#FluidPressurePorousMedium
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Pressure ni
-
description ap "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in porous medium"@en
IRI: https://mardi4nfdi.de/mathmoddb#FluidVelocityPorousMedium
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Velocity ni
-
description ap "vector field used to describe the motion of a fluid in a mathematical manner in porous medium"@en
-
alt Label ap "Macroscopic Velocity (Porous Medium)"@en
Fraction Of Population Density Of Exposedni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfExposed
-
belongs to
-
Quantity c
-
has facts
-
description ap "fraction of population density of exposed Individuals"@en
Fraction Of Population Density Of Infectiousni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfInfectious
-
belongs to
-
Quantity c
-
has facts
-
description ap "fraction of population density of Infectious Individuals"@en
Fraction Of Population Density Of Removedni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfRemoved
-
belongs to
-
Quantity c
-
has facts
-
description ap "fraction of population density of removed Individuals"@en
Fraction Of Population Density Of Susceptiblesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfSusceptibles
-
belongs to
-
Quantity c
-
has facts
-
description ap "fraction of population density of susceptible Individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#FreeEnergyDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure of the increase in the Helmholtz free energy per unit volume due to distortions"@en
-
wikidata I D ap Q865821 ep
IRI: https://mardi4nfdi.de/mathmoddb#FreeFallEquationAirDrag
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Free Fall Model (Air Drag) ni
-
contains quantity op Cross Section ni
-
contains quantity op Density Of Air ni
-
contains quantity op Drag Coefficient ni
-
contains quantity op Free Fall Height ni
-
contains quantity op Free Fall Initial Height ni
-
contains quantity op Free Fall Initial Velocity ni
-
contains quantity op Free Fall Mass ni
-
contains quantity op Free Fall Terminal Velocity ni
-
contains quantity op Free Fall Velocity ni
-
contains quantity op Gravitational Acceleration (Earth Surface) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} m\dot{v} &=& mg-\frac{1}{2}\rho C_DAv^2\\ v(t) &=& v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \\ y(t) &=& y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align}$"^^La Te X ep
-
in defining formulation dp "$A$, Cross Section"^^La Te X ep
-
in defining formulation dp "$C_D$, Drag Coefficient"^^La Te X ep
-
in defining formulation dp "$\rho$, Density of Air"^^La Te X ep
-
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
-
in defining formulation dp "$m$, Free Fall Mass"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$v$, Free Fall Velocity"^^La Te X ep
-
in defining formulation dp "$v_0$, Free Fall Initial Velocity"^^La Te X ep
-
in defining formulation dp "$v_{\infty}$, Free Fall Terminal Velocity"^^La Te X ep
-
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
-
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
-
is linear dp "false"^^boolean
-
description ap "modeling the fall of objects by the laws of classical mechanics, including aerodynamic drag and assuming a uniform gravitational field"@en
-
wikidata I D ap Q38083707 ep
IRI: https://mardi4nfdi.de/mathmoddb#FreeFallImpactVelocity
-
belongs to
-
Quantity c
-
has facts
-
description ap "velocity with which a freely falling object hits the ground"@en
IRI: https://mardi4nfdi.de/mathmoddb#FrictionCoefficient
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure that quantifies the amount of friction existing between two surfaces"@en
-
alt Label ap "Damping Constant"@en
-
wikidata I D ap Q82580 ep
Gramian Generalized Controllability (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#GramianGeneralizedControllabilityDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Control System Matrix A ni
-
contains quantity op Control System Matrix B ni
-
contains quantity op Control System Matrix N ni
-
contains quantity op Gramian Generalized Controllability ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} W_c &=& \sum_{j=1}^{\infty} \int_0^\infty\ldots\int_0^\infty P_{j}(t_{1},\ldots t_{j}) P^{*}_{j}(t_{1}, \ldots t_{j}) \mathrm{d} t_{1} \ldots \mathrm{d} t_{j} \\ P_{1}(t_{1}) &=& e^{A t_{1}}iB \\ P_{j}(t_{1},\ldots,t_{j}) &=& e^{At_{j}}iN P_{j-1} \end{align}$"^^La Te X ep
-
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
-
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
-
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
-
in defining formulation dp "$W_c$, Gramian Generalized Controllability"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "generalized Gramian of controllability, for use in bi-linear control problems"@en
Gramian Generalized Observability (Definition)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#GramianGeneralizedObservabilityDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Control System Matrix A ni
-
contains quantity op Control System Matrix C ni
-
contains quantity op Control System Matrix N ni
-
contains quantity op Gramian Generalized Observability ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} W_c &=& \sum_{j=1}^{\infty} \int_0^\infty\ldots\int_0^\infty Q^{*}_{j}(t_{1},\ldots t_{j})Q_{j}(t_{1},\ldots t_{j})\mathrm{d} t_{1}\ldots\mathrm{d} t_{j} \\ Q_{1}(t_{1}) &=& C e^{A^{*} t_{1}} \\ Q_{j}(t_{1},\ldots,t_{j}) X&=& Q_{j-1}iN e^{A^{*}t_{j}} \end{align}$"^^La Te X ep
-
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
-
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
-
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
-
in defining formulation dp "$W_o$, Gramian Generalized Observability"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "generalized Gramian of observability, for use in bi-linear control problems"@en
Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$$\frac{c_S}{v_0} = \frac{c_S * (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m * (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{c_S}{v_0} = \frac{c_S * (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m * (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#HankelSingularValue
-
belongs to
-
Quantity c
-
has facts
-
description ap "basis for balanced model reduction, in which controllable and observable states are retained while the remaining states are discarded"@en
-
wikidata I D ap Q5648530 ep
IRI: https://mardi4nfdi.de/mathmoddb#HeterogeneityOfDeathRate
-
belongs to
-
Quantity c
-
has facts
-
description ap "shows the different level of susceptibility of dying"@en
Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle modelsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Homs-Pons_2024_Coupled_simulations_and_parameter_inversion_for_neural_system_and_electrophysiological_muscle_models
-
belongs to
-
Publication c
-
has facts
-
doi I D ap gamm.202370009 ep
IRI: https://mardi4nfdi.de/mathmoddb#HydraulicConductivity
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure of the ability of a porous material to allow water to pass through it"@en
-
wikidata I D ap Q2783041 ep
IRI: https://mardi4nfdi.de/mathmoddb#HyperstressPotential
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#IndividualRelationshipMatrix
-
belongs to
-
Quantity c
-
has facts
-
description ap "relations among individuals such as friendship or connections on social media are defined through a binary adjacency matrix"@en
Inertia Parameter For Opinion Changes Of Influencersni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InfluencerInertiaParameter
-
belongs to
-
Quantity c
-
has facts
-
description ap "parameter indicating resistance to rapid optinion change of influencers"@en
IRI: https://mardi4nfdi.de/mathmoddb#InfectedRecoveryRate
-
belongs to
-
Quantity c
-
has facts
-
description ap "constant representing the infected recovery rate"@en
IRI: https://mardi4nfdi.de/mathmoddb#InfluencerIndividualMatrix
-
belongs to
-
Quantity c
-
has facts
-
description ap "adjacency matrix defining the connections between individuals and influencers at time t"@en
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandCompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandCompetitivePartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandMixedCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandMixedPartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandNonCompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandNonCompetitivePartialInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandUncompetitiveCompleteInhibition
-
belongs to
-
Research Problem c
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibitionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateofUniUniReactionwithoutProductandUncompetitivePartialInhibition
-
belongs to
-
Research Problem c
Interaction Force On An Individualni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#InteractionForceOnAnIndividual
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Opinion Model With Influencers And Media ni
-
contains quantity op Influencer Individual Matrix ni
-
contains quantity op Interaction Force ni
-
contains quantity op Interaction Weight ni
-
contains quantity op Medium Follower Matrix ni
-
contains quantity op Parameter To Scale Attractive Force From Influencers ni
-
contains quantity op Parameter To Scale Attractive Force From Media ni
-
contains quantity op Parameter To Scale Attractive Force From Other Individuals ni
-
contains quantity op Time ni
-
defining formulation dp "$F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)=\frac{a}{\sum_{j^{\prime}} w_{i j^{\prime}}(t)} \sum_{j=1}^N w_{i j}(t)\left(x_j(t)-x_i(t)\right)+b \sum_{m=1}^M B_{i m}(t)\left(y_m(t)-x_i(t)\right)+c \sum_{l=1}^L C_{i l}(t)\left(z_l(t)-x_i(t)\right)$"
-
in defining formulation dp "$B(t)$, Medium Follower Matrix"^^La Te X ep
-
in defining formulation dp "$C(t)$, Influencer Individual Matrix"^^La Te X ep
-
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
-
in defining formulation dp "$a$, Parameter To Scale Attractive Force From Other Individuals"^^La Te X ep
-
in defining formulation dp "$b$, Parameter To Scale Attractive Force From Media"^^La Te X ep
-
in defining formulation dp "$c$, Parameter To Scale Attractive Force From Influencers"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
in defining formulation dp "$w_{ij}$, Interaction Weight"^^La Te X ep
-
is space-continuous dp "true"^^boolean
-
is time-continuous dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#InteractionWeight
-
belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#IntermolecularPotential
-
belongs to
-
Quantity c
-
has facts
-
description ap "energy function that describes the interactions between molecules"@en
-
wikidata I D ap Q245031 ep
IRI: https://mardi4nfdi.de/mathmoddb#IsotropicGaussianFunction
-
belongs to
-
Quantity c
-
has facts
-
description ap "gaussian function representing density and density fractions of provinces"@en
IRI: https://mardi4nfdi.de/mathmoddb#LevelOfMortality
-
belongs to
-
Quantity c
-
has facts
-
description ap "rate at which individuals in a population die over a specified period"@en
IRI: https://mardi4nfdi.de/mathmoddb#LikelihoodValue
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure used in statistics to quantify how well a given set of model parameters explains observed data"@en
-
wikidata I D ap Q45284 ep
Limiting Distribution Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LimitingDistributionOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "limiting distribution of individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#LineCostsComputation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Costs ni
-
contains quantity op Costs per Unit ni
-
contains quantity op Duration ni
-
contains quantity op Fixed Costs ni
-
contains quantity op Graph Type Identifier ni
-
contains quantity op Length ni
-
contains quantity op Period Length ni
-
contains quantity op Turn Over Time ni
-
defining formulation dp "$cost_l=costs\_fixed+\sum_{e \in l}\left(costs\_length \cdot length_e + costs\_edges\right) + costs\_vehicles \cdot \lvert x \cdot \frac{duration_l + turn\_over\_time}{period\_length}\rvert$"^^La Te X ep
-
in defining formulation dp "$cost_l$, Costs"^^La Te X ep
-
in defining formulation dp "$costs\_edges$, Costs"^^La Te X ep
-
in defining formulation dp "$costs\_fixed$, Fixed Costs"^^La Te X ep
-
in defining formulation dp "$costs\_length$, Costs per Unit"^^La Te X ep
-
in defining formulation dp "$costs\_vehicles$, Costs"^^La Te X ep
-
in defining formulation dp "$duration_l$, Duration"^^La Te X ep
-
in defining formulation dp "$length_e$, Length"^^La Te X ep
-
in defining formulation dp "$period\_length$, Period Length"^^La Te X ep
-
in defining formulation dp "$turn\_over\_time$, Turn Over Time"^^La Te X ep
-
in defining formulation dp "$x$,Graph Type Identifier"^^La Te X ep
Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m * (1 + \frac{c_I}{K_{ic}})}{V_{max,f} * c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
linearizes formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
-
similar to formulation op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
-
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m * (1 + \frac{c_I}{K_{ic}})}{V_{max,f} * c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#LinkRecommendationFunction
-
belongs to
-
Quantity c
-
has facts
-
description ap "function representing link recommendation"@en
IRI: https://mardi4nfdi.de/mathmoddb#LossFunctionDefinition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Spreading Curve (Approximate) ni
-
contains quantity op Loss Function ni
-
contains quantity op Number of Regions ni
-
contains quantity op Number of Time Points ni
-
contains quantity op Romanized Cities Vector ni
-
contains quantity op Contact Network (Time-dependent) ni
-
contains quantity op Time Point ni
-
contains quantity op Weight Factor ni
-
defining formulation dp "$\ell (\sigma ) := \sum _{i=1}^{N_T} \sum _{m=1}^{N_R} \frac{(\omega _{m,t_i} - \phi (t_i| \sigma , \omega _{\bullet , 0}))^2 }{C_{m,t_i}^2}$"^^La Te X ep
-
in defining formulation dp "$C$, Weight Factor"^^La Te X ep
-
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
-
in defining formulation dp "$N_T$, Number of Time Points"^^La Te X ep
-
in defining formulation dp "$\ell$, Loss Function"^^La Te X ep
-
in defining formulation dp "$\omega$, Romanized Cities Vector"^^La Te X ep
-
in defining formulation dp "$\phi$, Spreading Curve (Approximate)"^^La Te X ep
-
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
-
in defining formulation dp "$t_i$, Time Point"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "true"^^boolean
-
is dynamic dp "false"^^boolean
-
description ap "loss function summing over regions and data points"@en
IRI: https://mardi4nfdi.de/mathmoddb#MediumFollowerMatrix
-
belongs to
-
Quantity c
-
has facts
-
description ap "adjacency matrix for medium-follower relations at time t"@en
IRI: https://mardi4nfdi.de/mathmoddb#MediumInfluencerFraction
-
belongs to
-
Quantity c
-
has facts
-
description ap "fraction of individuals following a specific medium and influencer at a given time"@en
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
-
contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_0 = \frac{V_{max,f} * c_{S_1} * c_{S_2}}{K_{iS_1} * K_{S_2} + K_{S_2} * c_{S_1} + K_{S_1} * c_{S_2} + \frac{K_{iS_1} * K_{S_2}}{K_{iP_1}} * c_{P_1} + c_{S_1} * c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} * c_{S_2} * c_{P_1}}$"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SingleCCSS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and single central Complex (Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_0 = \frac{V_{max,f} * c_{S_1} * c_{S_2}}{K_{iS_1} * K_{S_2} + K_{S_2} * c_{S_1} + K_{S_1} * c_{S_2} + \frac{K_{iS_1} * K_{S_2}}{K_{iP_1}} * c_{P_1} + c_{S_1} * c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} * c_{S_2} * c_{P_1}}$"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
-
contains quantity op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_0 = \frac{V_{max,f} * c_{S_1} * c_{S_2}}{K_{iS_1} * K_{S_2} + K_{S_2} * c_{S_1} + K_{S_1} * c_{S_2} + \frac{K_{iS_1} * K_{S_2} * K_{P_1}}{K_{iP_1} * K_{P_2}} * c_{P_2} + c_{S_1} * c_{S_2} + \frac{K_{S_2} * K_{P_1}}{K_{iP_1} * K_{P_2}} * c_{S_1} * c_{P_2} + \frac{1}{K_{iP_2}} * c_{S_1} * c_{S_2} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SingleCCSS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
-
contains quantity op Michaelis Constant ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_0 = \frac{V_{max,f} * c_{S_1} * c_{S_2}}{K_{iS_1} * K_{S_2} + K_{S_2} * c_{S_1} + K_{S_1} * c_{S_2} + \frac{K_{iS_1} * K_{S_2} * K_{P_1}}{K_{iP_1} * K_{P_2}} * c_{P_2} + c_{S_1} * c_{S_2} + \frac{K_{S_2} * K_{P_1}}{K_{iP_1} * K_{P_2}} * c_{S_1} * c_{P_2} + \frac{1}{K_{iP_2}} * c_{S_1} * c_{S_2} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
-
contains quantity op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
-
contains quantity op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_0 = \frac{V_{max,f} * V_{max,b} * (c_{S_1} * c_{S_2} - \frac{c_{P_1} * c_{P_2}}{K_{eq}})}{V_{max,b} * K_{iS_1} * K_{S_2} + V_{max,b} * K_{S_2} * c_{S_1} + V_{max,b} * K_{S_1} * c_{S_2} + \frac{V_{max,f} * K_{P_1}}{K_{eq}} * c_{P_2} + \frac{V_{max,f} * K_{P_2}}{K_{eq}} * c_{P_1} + V_{max,b} * c_{S_1} * c_{S_2} + \frac{V_{max,f} * K_{P_1}}{K_{iS_1} * K_{eq}} * c_{S_1} * c_{P_2} + \frac{V_{max,f}}{K_{eq}} * c_{P_1} * c_{P_2} + \frac{V_{max,b} * K_{S_1}}{K_{iP_1}} * c_{S_1} * c_{P_1} + \frac{V_{max,b}}{K_{iP_2}} * c_{S_1} * c_{S_2} * c_{P_2} + \frac{V_{max,f}}{K_{iS_2} * K_{eq}} * c_{S_2} * c_{P_1} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iS_2}$, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and single central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SingleCCSS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and single central Complex (Steady State Assumption) ni
-
contains formulation op Equilibrium Constant (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single central Complex) ni
-
contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single central Complex - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Concentration ni
-
contains quantity op Equilibrium Constant ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with single central Complex - Forward) ni
-
contains quantity op Michaelis Constant ni
-
contains quantity op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption) ni
-
contains quantity op Reaction Rate ni
-
defining formulation dp "$v_0 = \frac{V_1 * V_2 * (c_{S_1} * c_{S_2} - \frac{c_{P_1} * c_{P_2}}{K_{eq}})}{V_2 * K_{iS_1} * K_{S_2} + V_2 * K_{S_2} * c_{S_1} + V_2 * K_{S_1} * c_{S_2} + \frac{V_1 * K_{P_1}}{K_{eq}} * c_{P_2} + \frac{V_1 * K_{P_2}}{K_{eq}} * c_{P_1} + V_2 * c_{S_1} * c_{S_2} + \frac{V_1 * K_{P_1}}{K_{iS_1} * K_{eq}} * c_{S_1} * c_{P_2} + \frac{V_1}{K_{eq}} * c_{P_1} * c_{P_2} + \frac{V_2 * K_{S_1}}{K_{iP_1}} * c_{S_1} * c_{P_1} + \frac{V_2}{K_{iP_2}} * c_{S_1} * c_{S_2} * c_{P_2} + \frac{V_1}{K_{iS_2} * K_{eq}} * c_{S_2} * c_{P_1} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with single central Complex - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_1$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$V_2$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionPingPongMechanismwithProducts1and2SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
-
contains formulation op Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
-
contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
-
contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Concentration ni
-
contains quantity op Equilibrium Constant ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Michaelis Constant ni
-
contains quantity op Reaction Rate ni
-
defining formulation dp "$v_{0} = \frac{V_{1} * V_{2} * (c_{S_1} * c_{S_2} - \frac{c_{P_1} * c_{P_2}}{K_{eq}})}{V_{2} * K_{S_2} * c_{S_1} + V_{2} * K_{S_1} * c_{S_2} + \frac{V_{1} * K_{P_2}}{K_{eq}} * c_{P_2} + \frac{V_{1} * K_{P_1}}{K_{eq}} * c_{P_2} + V_{2} * c_{S_1} * c_{S_2} + \frac{V_{1} * K_{P_2}}{K_{iS_1} * K_{eq}} * c_{S_1} * c_{P_1} +\frac{V_{1}}{K_{eq}} * c_{P_1} * c_{P_2} + \frac{V_{2} * K_{S_1}}{K_{iP_2}} * c_{S_2} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProduct1SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Concentration ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Michaelis Constant ni
-
contains quantity op Reaction Rate ni
-
defining formulation dp "$v_{0} = \frac{V_1 * c_{S_1} * c_{S_2}}{K_{iS_1} * K_{S_2} + K_{S_2} * c_{S_1} + K_{S_1} * c_{S_2} + c_{S_1} * c_{S_2} + \frac{K_{S_1} * K_{iS_2}}{K_{iP_1}} * c_{P_1} + \frac{K_{S_2}}{K_{iP_1}} * c_{S_1} * c_{P_1}}$"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 and 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProducts1and2SS
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
-
contains formulation op Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
-
contains formulation op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains formulation op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
-
contains quantity op Concentration ni
-
contains quantity op Equilibrium Constant ni
-
contains quantity op Inhibition Constant ni
-
contains quantity op Michaelis Constant ni
-
contains quantity op Reaction Rate ni
-
defining formulation dp "$v_{0} = \frac{V_{1} * V_{2} * (c_{S_1} * c_{S_2} - \frac{c_{P_1} * c_{P_2}}{K_{eq}})}{V_2 * K_{iS_1} * K_{S_2} + V_2 * K_{S_2} * c_{S_1} + V_2 * K_{S_1} * c_{S_2} + \frac{V_1 * K_{P_2}}{K_{eq}} * c_{P_1} + \frac{V_1 * K_{P_1}}{K_{eq}} * c_{P_2} + V_2 * c_{S_1} * c_{S_2} + \frac{V_1 * K_{P_2}}{K_{iS_1} * K_{eq}} * c_{S_1} * c_{P_1} + \frac{V_2 * K_{S_1}}{K_{iP_2}} * c_{S_2} * c_{P_2} + \frac{V_1}{K_{eq}} * c_{P_1} * c_{P_2}}$"^^La Te X ep
-
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
-
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
-
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
-
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithProductSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Product Concentration ni
-
contains quantity op Substrate Concentration ni
-
defining formulation dp "$v_{0}=\frac{\frac{V_{max,f}}{K_{S}}*c_{S}-\frac{V_{max,b}}{K_{P}}*c_{P}}{1+\frac{c_{S}}{K_{S}}+\frac{c_{P}}{K_{P}}}$"^^La Te X ep
-
in defining formulation dp "$K_{P}$, Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Uni Uni Reaction - Backward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_P$, Product Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_{0}$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandMixedPartialInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f}*c_I}{K_{iu}}) * c_S}{K_S * (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) * c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandNonCompetitivePartialInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
similar to formulation op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f}*c_I}{K_{iu}}) * c_S}{K_S * (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) * c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandUncompetitivePartialInhibitionSteadyStateAssumption
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Inhibitor Concentration ni
-
contains quantity op Initial Reaction Rate ni
-
contains quantity op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
-
contains quantity op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
-
contains quantity op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
-
contains quantity op Substrate Concentration ni
-
contains quantity op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
-
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f}*c_I}{K_{iu}}) * c_S}{K_S + (1 + \frac{c_I}{K_{iu}}) * c_S}$"^^La Te X ep
-
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
-
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
-
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
-
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfElectrons
-
belongs to
-
Quantity c
-
has facts
-
description ap "magnitude of the drift velocity of electrons per unit electric field"@en
IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfHoles
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure of how easily holes can move through the material under the influence of an electric field"@en
Monodomain Equation for Action Potential Propagationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Monodomain_Equation_for_Action_Propagation_Potential
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Action Potential Propagation Model ni
-
contains quantity op Effective Conductivity ni
-
contains quantity op Ion Current ni
-
contains quantity op Membrane Capacitance ni
-
contains quantity op Time ni
-
contains quantity op Transmembrane Potential ni
-
defining formulation dp "$$\frac{\partial V^\text{f}_\text{m}}{\partial t} = \frac{1}{C^\text{f}_\text{m}} \left( \frac{1}{A_\text{m}} \sigma_{\text{eff}} \frac{\partial^2 V^{\text{f}}_{\text{m}}}{\partial s^2} - I_\text{ion} (V^{\text{f}}_{\text{m}}, \mathbf{y}) + S(V^{\text{s}}_{\text{m}})\right)~ \text{in $\Omega_{f}$}$$"^^La Te X ep
-
in defining formulation dp "$C^{\text{f}}_{\text{m}}$, Membrane Capacitance"^^La Te X ep
-
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
-
in defining formulation dp "$V^{\text{f}}_{\text{m}}$, Transmembrane Potential"^^La Te X ep
-
in defining formulation dp "$\sigma_{\text{eff}}$, Effective Conductivity"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "describes the evelution of the transmembrane potential at each sacomeres location i.e. the propagation of the action potential"@en
-
description ap "the evelution of the transmembrane potential at each sacomeres location"@en
IRI: https://mardi4nfdi.de/mathmoddb#Motor_Neuron_Pool_ODE_System
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Motor Neuron Pool Model ni
-
contains quantity op Coupling Current ni
-
contains quantity op Fiber Contraction Velocity ni
-
contains quantity op Fiber Stretch ni
-
contains quantity op Ion Current ni
-
contains quantity op Membrane Capacitance ni
-
contains quantity op Membrane Potential ni
-
contains quantity op Neural Input ni
-
contains quantity op Sensory Organ Current ni
-
contains quantity op Time ni
-
defining formulation dp "$$\begin{align*} \frac{\text{d}V^{\text{d}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{d}}_{\text{m}}}\left(-I^{\text{d}}_{\text{ion}}(V^{\text{d}}_{\text{m}}) - I^{\text{d}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) \right) \\ \frac{\text{d}V^{\text{s}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{s}}_{\text{m}}}\left(-I^{\text{s}}_{\text{ion}}(V^{\text{s}}_{\text{m}}) - I^{\text{s}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) + I_{\text{spindle}}(\lambda_{\text{f}}, \dot{\lambda}_\text{f}) + I_\text{ext} \right) \\ \end{align*}$$"^^La Te X ep
-
in defining formulation dp "$t$, Time"
-
in defining formulation dp "$C_{\text{m}}$, Membrane Capacitance"^^La Te X ep
-
in defining formulation dp "$I_{\text{C}}$, Coupling Current"^^La Te X ep
-
in defining formulation dp "$I_{\text{ext}}$, Neural Input"^^La Te X ep
-
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
-
in defining formulation dp "$I_{\text{spindle}}$, Sensory Organ Current"^^La Te X ep
-
in defining formulation dp "$V_{\text{m}}$, Membrane Potential"^^La Te X ep
-
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Contraction Velocity"^^La Te X ep
-
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Stretch"^^La Te X ep
-
description ap "two coupled ODEs which describe the membrane potentials"@en
IRI: https://mardi4nfdi.de/mathmoddb#Muscle_Movement
-
belongs to
-
Research Problem c
-
has facts
-
description ap "process in which force is generated within muscle tissue, resulting in a change in muscle geometry"@en
-
wikidata I D ap "https://www.wikidata.org/wiki/Q127006"@en
IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryCondition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
description ap "boundary condition specifying the values of derivatives of a solution of a differential equation along the boundaries of a domain"@en
-
alt Label ap "second-type boundary condition"@en
-
wikidata I D ap Q1149279 ep
Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#NoncompetitiveEnzymeInhibitionCouplingConditionUniUniReaction
-
belongs to
-
Mathematical Formulation c
-
has facts
-
defining formulation dp "$$\begin{align*} k_{1} &= k_{5} \\ k_{-1} &= k_{-5} \\ k_{-3} &= k_{-4}\\ k_{3} &= k_{4} \\ K_{ic} &= K_{iu}\\ \end{align}$$"^^La Te X ep
-
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
-
in defining formulation dp "$k_1$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_3$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_4$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_5$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-1}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-3}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-4}$,Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-5}$,Reaction Rate Constant"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "false"^^boolean
-
is dynamic dp "false"^^boolean
-
is linear dp "false"^^boolean
-
description ap "coupling condition for a non-competitive enzyme inhibition in an uni uni reaction"@en
Normal Interaction Force Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Normal_Interaction_Force_Of_Two_Particles
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
contains quantity op Young Modulus ni
-
defining formulation dp "$\bm F^N_{ij}=\left(k_{ij}^N\delta_{ij}+d_{ij}^N\dot{\delta}_{ij}\right)\bm n_{ij}$ $\delta_{ij}=\langle \bm x_i - \bm x_j, \bm n_{ij}\rangle$ $\delta_{ij}=\langle \bm v_i - \bm v_j, \bm n_{ij}\rangle$ $\bm n_{ij} = \frac{\bm x_i - \bm x_j}{\lVert \bm x_i - \bm x_j \rVert}$ $k^N_{ij}=E_N \pi r_{ij} / 2$ $d_{ij}^N=D_N 2 \sqrt{k^N_{ij}m_{ij}}$ $m_{ij}=\frac{m_im_j}{m_i + m_j}$"^^La Te X ep
-
in defining formulation dp "$D_N$, control parameter of critical damping"^^La Te X ep
-
in defining formulation dp "$E_N$, Young Modulus"^^La Te X ep
-
in defining formulation dp "$\bm F^N_{ij}$, total normal force between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\bm v_i\in \mathbb R^3$, velocity of particle $i$ $\bm v_j\in \mathbb R^3$, velocity of particle $j$"^^La Te X ep
-
in defining formulation dp "$\bm x_i\in \mathbb R^3$, position of center of gravity for particle $i$ $\bm x_j\in \mathbb R^3$, position of center of gravity for particle $j$"^^La Te X ep
-
in defining formulation dp "$r_{ij}=(r_i+r_j)/2$, mean radius of particles $i$ and $j$"^^La Te X ep
-
description ap "Component of the total force in normal direction, i.e. the sum of dissipative and conservative forces"@en
IRI: https://mardi4nfdi.de/mathmoddb#NormalModeCoordinate
-
belongs to
-
Quantity c
-
has facts
-
description ap "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en
-
wikidata I D ap Q112730947 ep
IRI: https://mardi4nfdi.de/mathmoddb#NormalModeMomentum
-
belongs to
-
Quantity c
-
has facts
-
description ap "canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules."@en
-
wikidata I D ap Q112730947 ep
IRI: https://mardi4nfdi.de/mathmoddb#NumberOfExposedIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "number of exposed individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#NumberOfParticles
-
belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Integer Number (Dimensionless) ni
-
is dimensionless dp "true"^^boolean
-
description ap "number of constituent particles in that system"@en
IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommittorFunctions
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
description ap "non-negative vectors whose values correspond to the probability to end up in some property when starting the process in some object"@en
IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommonalityMatrix
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
description ap "matrix containing object property commonalities of all object pairs"@en
Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobilityni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Oosterhout_2024_Finite-strain_poro-visco-elasticity_with_degenerate_mobility
-
belongs to
-
Publication c
-
has facts
-
doi I D ap zamm.202300486 ep
IRI: https://mardi4nfdi.de/mathmoddb#OpinionVectorOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "vector containing N opinions for N Individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#OpinionVectorOfInfluencers
-
belongs to
-
Quantity c
-
has facts
-
description ap "vector containing L opinions for L Individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlCost
-
belongs to
-
Quantity c
-
has facts
-
description ap "cost functional in optimal control"@en
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlPenaltyFactor
-
belongs to
-
Quantity c
-
has facts
-
description ap "used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]"@en
IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlTarget
-
belongs to
-
Quantity c
-
has facts
-
description ap "target functional in optimal control"@en
IRI: https://mardi4nfdi.de/mathmoddb#OriginDestinationData
-
belongs to
-
Quantity c
-
has facts
-
description ap "Data including, amongst others, information from which origin to which destination passengers travel and which mode of transport they use."@en
Overall Distribution Of Individualsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#OverallDistributionOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "pattern or arrangement of individuals within a population across a given area or space"@en
IRI: https://mardi4nfdi.de/mathmoddb#PairFunction
-
belongs to
-
Quantity c
-
has facts
-
description ap "non-negative pair function used to weight interaction between two individuals"@en
IRI: https://mardi4nfdi.de/mathmoddb#ParticleFluxDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "time derivative of particle fluence"@en
-
alt Label ap "Fluence Rate"@en
-
alt Label ap "Particle Fluence Rate"@en
-
alt Label ap "Time Derivative of Particle Fluence"@en
-
wikidata I D ap Q98497410 ep
IRI: https://mardi4nfdi.de/mathmoddb#ParticleNumberDensity
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
description ap "number of particles per volume"@en
-
wikidata I D ap Q98601569 ep
Particles In Electromagnetic Fieldsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ParticlesInElectroMagneticFields
-
belongs to
-
Research Problem c
-
has facts
-
contained in field op Electromagnetism ni
-
description ap "motion of charged particles subject to an electric and/or magnetic fields, e.g. in a cathode ray tube, in an ion trap, or in a mass spectrometer"@en
IRI: https://mardi4nfdi.de/mathmoddb#PeriodicBoundaryConditions
-
belongs to
-
Mathematical Formulation c
-
has facts
-
description ap "set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell"@en
-
wikidata I D ap Q2992284 ep
Poisson Equation For The Electric Potentialni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoissonEquationForTheElectricPotential
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Density Of Electrons ni
-
contains quantity op Density Of Holes ni
-
contains quantity op Doping Profile ni
-
contains quantity op Electric Potential ni
-
contains quantity op Elementary Charge ni
-
contains quantity op Fermi Potential For Electrons ni
-
contains quantity op Fermi Potential For Holes ni
-
contains quantity op Permittivity (Dielectric) ni
-
defining formulation dp "$-\nabla\cdot\left(\epsilon_s\nabla\psi\right) = q\left(C+p(\psi,\phi_p)-n(\psi,\phi_n)\right)$"^^La Te X ep
-
in defining formulation dp "$C$, Doping Profile"^^La Te X ep
-
in defining formulation dp "$\epsilon_s$, Permittivity (Dielectric)"^^La Te X ep
-
in defining formulation dp "$\phi_n$, Fermi Potential For Electrons"^^La Te X ep
-
in defining formulation dp "$\phi_p$, Fermi Potential For Holes"^^La Te X ep
-
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
-
in defining formulation dp "$n$, Density Of Electrons"^^La Te X ep
-
in defining formulation dp "$p$, Density Of Holes"^^La Te X ep
-
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
-
is dynamic dp "false"^^boolean
-
is space-continuous dp "true"^^boolean
-
description ap "For use in semiconductor physics, with electron and hole densities"@en
IRI: https://mardi4nfdi.de/mathmoddb#PopulationDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "measure of the number of individuals per unit area"@en
Poro-Visco-Elastic (Neumann Boundary)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticNeumannBoundary
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as boundary condition in op Poro-Visco-Elastic Model ni
-
contains quantity op Concentration ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Mechanical Deformation ni
-
contains quantity op Spatial Variable ni
-
contains quantity op Surface Force Density ni
-
contains quantity op Unit Normal Vector ni
-
contains quantity op Viscous Dissipation Potential ni
-
generalized by formulation op Neumann Boundary Condition ni
-
defining formulation dp "$(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)))\nu - \nabla_s\cdot (\partial_{D^2\chi} H(x,D^2\chi(t,x))\nu) = g(t,x)$"^^La Te X ep
-
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$\nu$, Unit Normal Vector"^^La Te X ep
-
in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
in defining formulation dp "$g$, Surface Force Density"^^La Te X ep
-
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
-
description ap "Neumann boundary condition for mechanical deformation"@en
Poro-Visco-Elastic Diffusion Boundary Conditionni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionBoundaryCondition
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op External Chemical Potential ni
-
contains quantity op Fluid Intrinsic Permeability (Porous Medium) ni
-
contains quantity op Hydraulic Conductivity ni
-
contains quantity op Mechanical Deformation ni
-
defining formulation dp "$M(\nabla\chi,c)\nabla\partial_c\Phi(x,\nabla\chi,c)\cdot \nu = \kappa(x)(\mu_e(t,x)-\partial_c\Phi(x,\nabla\chi,c))$"^^La Te X ep
-
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$\kappa$, Fluid Intrinsic Permeability (Porous Medium)"^^La Te X ep
-
in defining formulation dp "$\mu$, External Chemical Potential"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
description ap "Boundary condition for diffusion equation"@en
Poro-Visco-Elastic Diffusion Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionEquation
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contains quantity op Concentration ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Hydraulic Conductivity ni
-
contains quantity op Mechanical Deformation ni
-
contains quantity op Time ni
-
generalizes formulation op Fick Equation ni
-
defining formulation dp "$\dot c(t,x) = - \nabla\cdot(M(x,\nabla\chi(t,x),c(t,x))\nabla\partial_c\Phi(x,\nabla \chi(t,x),c(t,x)))$"^^La Te X ep
-
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
-
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
-
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
-
in defining formulation dp "$c$, Concentration"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
description ap "mathematical formulation for diffusion in poro-visco-elastic models"@en
Poro-Visco-Elastic Quasistatic Equationni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticQuasistaticEquation
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belongs to
-
Mathematical Formulation c
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has facts
-
contained as formulation in op Poro-Visco-Elastic Model ni
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contains quantity op Concentration ni
-
contains quantity op External Force Density ni
-
contains quantity op Free Energy Density ni
-
contains quantity op Hyperstress Potential ni
-
contains quantity op Mechanical Deformation ni
-
contains quantity op Spatial Variable ni
-
contains quantity op Time ni
-
contains quantity op Viscous Dissipation Potential ni
-
defining formulation dp "$-\nabla\cdot(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)) - \nabla\cdot \partial_{D^2\chi} H(x,D^2\chi(t,x)))=f(t,x)$"^^La Te X ep
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in defining formulation dp "$H$, Hyperstress Potential"^^La Te X ep
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in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
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in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
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in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
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in defining formulation dp "$c$, Concentration"^^La Te X ep
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in defining formulation dp "$f$, External Force Density"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
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in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
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description ap "equation using linear momentum without inertia for mechanical deformation"@en
IRI: https://mardi4nfdi.de/mathmoddb#ProbabilityDistribution
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belongs to
-
Quantity c
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has facts
-
description ap "statistical function that describes the likelihood of obtaining all possible values that a random variable can take"@en
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alt Label ap "Probability Density"@en
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wikidata I D ap Q200726 ep
IRI: https://mardi4nfdi.de/mathmoddb#PTNLine
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belongs to
-
Quantity c
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has facts
-
description ap "single line in a public transport network (PTN)"@en
-
wikidata I D ap "https://www.wikidata.org/wiki/Q125209036"
Quantum Hamiltonian (Normal Mode, Intermolecular)ni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNormalModeIntermolecular
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belongs to
-
Mathematical Formulation c
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has facts
-
contains quantity op Force Constant (Anharmonic) ni
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contains quantity op Intermolecular Potential ni
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contains quantity op Normal Mode Coordinate ni
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contains quantity op Normal Mode Momentum ni
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contains quantity op Number of Particles ni
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contains quantity op Quantum Hamiltonian Operator ni
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contains quantity op Vibration Frequency (Harmonic) ni
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generalizes formulation op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
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defining formulation dp "$\hat{H}=\frac{1}{2}\sum_{i=1}^{3N-6}\omega_i\left(\hat{p}_i^2+\hat{q}_i^2\right) + \frac{1}{6} \sum_{ijk} \phi_{ijk} q_iq_jq_k + \frac{1}{24} \sum_{ijkl} \phi_{ijk} q_iq_jq_kq_l + U(q)$"^^La Te X ep
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in defining formulation dp "$N$, Number of Particles"^^La Te X ep
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in defining formulation dp "$U$, Intermolecular Potential"^^La Te X ep
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in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
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in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
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in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
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in defining formulation dp "$p$, Normal Mode Momentum"^^La Te X ep
-
in defining formulation dp "$q$, Normal Mode Coordinate"^^La Te X ep
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description ap "quantum-mechanical represention of molecular normal modes of vibration, including intermolecular interaction"@en
IRI: https://mardi4nfdi.de/mathmoddb#QuantumKineticOperator
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belongs to
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Quantity c
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has facts
-
description ap "operator representing the kinetic energy of a quantum system"@en
IRI: https://mardi4nfdi.de/mathmoddb#QuantumLindbladEquation
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belongs to
-
Mathematical Formulation c
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has facts
-
contained as formulation in op Quantum Model (Open System) ni
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contains initial condition op Initial Quantum Density ni
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contains quantity op Planck Constant ni
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contains quantity op Quantum Damping Rate ni
-
contains quantity op Quantum Density Operator ni
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contains quantity op Quantum Hamiltonian Operator ni
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contains quantity op Quantum Jump Operator ni
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contains quantity op Time ni
-
generalizes formulation op Quantum Liouville Equation ni
-
defining formulation dp "$\frac{\mathrm d}{\mathrm{d}t}\rho=-\frac{\mathrm i}\hbar[H,\rho]+\sum _{i=1}^{N^2-1}\gamma_i\left(L_i\rho L_i^\dagger-\frac12[L_i^\dagger L_i,\rho]_+\right)$"^^La Te X ep
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in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
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in defining formulation dp "$L$, Quantum Jump Operator"^^La Te X ep
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in defining formulation dp "$[\cdot,\cdot]_+$, anti-commutator"^^La Te X ep
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in defining formulation dp "$\gamma > 0$, Quantum Damping Rate"^^La Te X ep
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in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
-
in defining formulation dp "$\rho$, Quantum Density Operator"^^La Te X ep
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in defining formulation dp "$t$, Time"^^La Te X ep
-
is time-continuous dp "true"^^boolean
-
description ap "describes open system quantum dynamics including dissipation and/or decoherence"@en
-
alt Label ap "Gorini–Kossakowski–Sudarshan–Lindblad Equation"@en
-
wikidata I D ap Q4476520 ep
IRI: https://mardi4nfdi.de/mathmoddb#QuantumPotentialOperator
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belongs to
-
Quantity c
-
has facts
-
description ap "operator representing the potential energy of a quantum system"@en
IRI: https://mardi4nfdi.de/mathmoddb#RateOfAging
-
belongs to
-
Quantity c
-
has facts
-
description ap "speed at which an individual or population ages"@en
Rate Of Change Of Population Density Fraction Of Exposed PDEni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfExposedPDE
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belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op PDE SEIR Model ni
-
contains quantity op Allee Threshold ni
-
contains quantity op Asymptomatic Infection Rate ni
-
contains quantity op Asymptomatic Recovery Rate ni
-
contains quantity op Diffusion Coefficient for SEIR Model ni
-
contains quantity op Fraction Of Population Density Of Exposed ni
-
contains quantity op Fraction Of Population Density Of Infectious ni
-
contains quantity op Fraction Of Population Density Of Susceptibles ni
-
contains quantity op Population Density ni
-
contains quantity op Rate Of Becoming Infectious ni
-
contains quantity op Symptomatic Infection Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\partial_t e =\operatorname{div}(D \nabla e)+\left(1-\frac{A}{n+n_0}\right) s\left(\beta_e e+\beta_i i\right)-\sigma e-\phi_e e $"^^La Te X ep
-
in defining formulation dp "$A$, Allee Threshold"^^La Te X ep
-
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
-
in defining formulation dp "$\beta_e$, Asymptomatic Infection Rate"^^La Te X ep
-
in defining formulation dp "$\beta_i$, Symptomatic Infection Rate"^^La Te X ep
-
in defining formulation dp "$\phi_e$, Asymptomatic Recovery Rate"^^La Te X ep
-
in defining formulation dp "$\sigma$, Rate Of Becoming Infectious"^^La Te X ep
-
in defining formulation dp "$e$, Fraction Of Population Density Of Exposed"^^La Te X ep
-
in defining formulation dp "$i$, Fraction Of Population Density Of Infectious"^^La Te X ep
-
in defining formulation dp "$n$, Population Density"^^La Te X ep
-
in defining formulation dp "$s$, Fraction Of Population Density Of Susceptibles"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "true"^^boolean
IRI: https://mardi4nfdi.de/mathmoddb#RateOfSwitchingInfluencers
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belongs to
-
Quantity c
-
has facts
-
generalized by quantity op Rate ni
-
description ap "Rate at which an Individual switches the Influencer they are following at a given time"@en
Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complexni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateofEnzymeSubstrate1Substrate2EnzymeProduct1Product2Complex
-
belongs to
-
Quantity c
-
has facts
-
wikidata I D ap Q3394849 ep
IRI: https://mardi4nfdi.de/mathmoddb#RecoveryRate
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belongs to
-
Quantity c
IRI: https://mardi4nfdi.de/mathmoddb#Region
-
belongs to
-
Quantity c
-
has facts
-
description ap "area of land that shares common features, which can be either natural or artificial"@en
-
wikidata I D ap Q82794 ep
IRI: https://mardi4nfdi.de/mathmoddb#RotationalConstant
-
belongs to
-
Quantity c
-
has facts
-
description ap "defines the scale of the rotational energies for a diatomic molecule"@en
-
wikidata I D ap Q904380 ep
Second Eigenvalue of Orthogonal Matrixni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#SecondEigenvalueofOrthogonalMatrix
-
belongs to
-
Quantity c
-
has facts
-
description ap "second Eigenvalue of Orthogonal Matrix"@en
Simulation of Complex Kinetic Systemsni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#SimulationOfComplexKineticSystems
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belongs to
-
Computational Task c
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has facts
-
description ap "study of the time-dependent behavior of complex kinetic systems"@en
IRI: https://mardi4nfdi.de/mathmoddb#SpatialVariable
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belongs to
-
Quantity c
-
has facts
-
description ap "variable that describes a spatial dimension"@en
IRI: https://mardi4nfdi.de/mathmoddb#NavierStokesModel
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belongs to
-
Mathematical Model c
-
has facts
-
description ap "describes a fluid flow with small advective inertial forces compared to viscous forces"@en
IRI: https://mardi4nfdi.de/mathmoddb#StressOfCrystal
-
belongs to
-
Quantity c
-
has facts
-
description ap "stress of a crystal used in theory of elasticity"@en
IRI: https://mardi4nfdi.de/mathmoddb#SurfaceForceDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "concept that describes the force per unit area acting on a surface"@en
Susceptible Infectious Epidemic Spreading ODE Systemni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#SusceptibleInfectiousEpidemicSpreadingODESystem
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belongs to
-
Mathematical Formulation c
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has facts
-
contains formulation op Conservation of City Numbers ni
-
contains formulation op Susceptible Cities ODE ni
-
contains quantity op Contact Network ni
-
contains quantity op Number of Cities ni
-
contains quantity op Number Of Infected Cities ni
-
contains quantity op Number of Regions ni
-
contains quantity op Number Of Susceptible Cities ni
-
contains quantity op Rate Of Change Of Susceptible Cities ni
-
contains quantity op Region ni
-
contains quantity op Spreading Rate (Time-dependent) ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align*} \frac{ds_m(t)}{dt} &= -s_m(t) * \alpha(t) \sum_{n=1}^{N_R} G_{m,n} * i_n(t) \\ i_m(t) &= P_m - s_m(t) \end{align*}$"^^La Te X ep
-
in defining formulation dp "$G_{m,n}$, Contact Network"^^La Te X ep
-
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
-
in defining formulation dp "$P_m$, Number of Cities"^^La Te X ep
-
in defining formulation dp "$\alpha(t)$, Spreading Rate (Time-dependent)"^^La Te X ep
-
in defining formulation dp "$\frac{ds_m(t)}{dt}$, Rate of Change of Susceptible Cities"^^La Te X ep
-
in defining formulation dp "$i$, Number Of Infected Cities"^^La Te X ep
-
in defining formulation dp "$m$, Region"^^La Te X ep
-
in defining formulation dp "$n$, Region"^^La Te X ep
-
in defining formulation dp "$s_m(t)$, Number Of Susceptible Cities"^^La Te X ep
-
in defining formulation dp "$t$, Time"^^La Te X ep
-
is deterministic dp "true"^^boolean
-
is dimensionless dp "true"^^boolean
-
is dynamic dp "true"^^boolean
-
is linear dp "false"^^boolean
Sylvester (1884) Sur léquations en matrices px = xqni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Sylvester_1884_Sur_léquations_en_matrices_px_xq
-
belongs to
-
Publication c
Tangential Interaction Force Of Two Particlesni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#Tangential_Interaction_Force_Of_Two_Particles
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "$\bm F^T_{ij}=-k^T_{ij}\bm\xi_{ij}-d^T_{ij}\dot{\bm \xi}_{ij}$"^^La Te X ep
-
in defining formulation dp "$\bm F_{ij}^T$, tangential interaction force"^^La Te X ep
-
in defining formulation dp "$\bm \xi'=\bm x_{C_{ji}}-\bm x_{C_{ij}}$"^^La Te X ep
-
in defining formulation dp "$\bm \xi^T_{ij}=\xi'{ij}-\langle \bm\xi_{ij}',\bm n_{ij}\rangle \bm n_{ij}$"^^La Te X ep
-
in defining formulation dp "$\bm t = \bm \xi_{ij} / \lVert \bm \xi_{ij}\rVert$, tangential unit vector"^^La Te X ep
-
in defining formulation dp "$\bm x_{C_{ij}}$, global contact point between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\dot{\bm \xi}_{ij}=\langle \bm v_i-\bm v_j, \bm t\rangle \bm t$, tangential component of relative veloctiy"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#Torque_Of_Particle
-
belongs to
-
Mathematical Formulation c
-
has facts
-
contained as formulation in op Linear Discrete Element Method ni
-
defining formulation dp "$\mathbf T_i = (\mathbf x_{a_{ij}} - \mathbf x_i)\times \mathbf F_T$"^^La Te X ep
-
in defining formulation dp "$\mathbf F_T$, tangential interaction force between particles $i$ and $j$"^^La Te X ep
-
in defining formulation dp "$\mathbf T_i$, torque acting on particle $i$"^^La Te X ep
-
in defining formulation dp "$\mathbf x_i$, position of particle $i$"^^La Te X ep
-
in defining formulation dp "$\mathbf x_{a_{ij}} = \mathbf x_i + \frac{r_i}{r_i + r_j}(\mathbf x_i - \mathbf x_j)$, actuation point, i.e. mid-point of contact area between particles $i$ and $j$ with radii $r_i$ and $r_j$"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#TotalNumberOfIndividuals
-
belongs to
-
Quantity c
-
has facts
-
description ap "overall count of people residing within a specific area"@en
IRI: https://mardi4nfdi.de/mathmoddb#TotalPopulationDensity
-
belongs to
-
Quantity c
-
has facts
-
description ap "number of people living in a given area, typically expressed as the number of people per square kilometer or square mile"@en
IRI: https://mardi4nfdi.de/mathmoddb#TrafficLoad
-
belongs to
-
Quantity c
-
has facts
-
is dimensionless dp "true"^^boolean
-
description ap "number of passengers traveling along each edge in the public transportation network."@en
Transmission Electron Microscopyni back to ToC or Named Individual ToC
IRI: https://mardi4nfdi.de/mathmoddb#TransmissionElectronMicroscopy
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belongs to
-
Research Field c
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has facts
-
description ap "uses the propagation of electron waves through magnetic lenses to create images of, e.g., the crystallographic structure of materials down to an atomic scale"@en
-
wikidata I D ap Q110779037 ep
IRI: https://mardi4nfdi.de/mathmoddb#TransportationPlanning
-
belongs to
-
Research Field c
-
has facts
-
description ap "planning of transportation networks and traffic"@en
-
wikidata I D ap "https://www.wikidata.org/wiki/Q1034047"
IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionODESystem
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belongs to
-
Mathematical Formulation c
-
has facts
-
contains formulation op Enzyme Concentration ODE (Uni Uni Reaction) ni
-
contains formulation op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
-
contains formulation op Product Concentration ODE (Uni Uni Reaction) ni
-
contains formulation op Substrate Concentration ODE (Uni Uni Reaction) ni
-
contains quantity op Concentration ni
-
contains quantity op Reaction Rate Constant ni
-
contains quantity op Reaction Rate ni
-
contains quantity op Time ni
-
defining formulation dp "$\begin{align} \frac{dc_{S}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES} \\ \frac{dc_{P}}{dt}&=k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{E}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}+k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{ES}}{dt}&=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P} \end{align}$"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{P}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$\frac{dc_{S}}{dt}$, Reaction Rate"^^La Te X ep
-
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
-
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
-
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
-
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
IRI: https://mardi4nfdi.de/mathmoddb#UnitNormalVector
-
belongs to
-
Quantity c
-
has facts
-
description ap "vector that is normal to some surface (typically an interface), with unit length"@en
-
wikidata I D ap Q91093255 ep
IRI: https://mardi4nfdi.de/mathmoddb#UnitTangentVector
-
belongs to
-
Quantity c
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has facts
-
description ap "vector that is tangent to a curve or surface at a given point, with unit length"@en
-
wikidata I D ap Q106041131 ep
IRI: https://mardi4nfdi.de/mathmoddb#UnknownMatrix
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belongs to
-
Quantity c
-
has facts
-
description ap "unknown matrix"@en
IRI: https://mardi4nfdi.de/mathmoddb#ViscousDissipationPotential
-
belongs to
-
Quantity c
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has facts
-
description ap "describes the conversion of mechanical energy into internal energy due to the viscosity of a fluid"@en